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Finding the Fourth Proportional to 71,000,101.60, 106,416,171.60 and 36,903,896.80

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Solution

The fourth proportional to 71,000,101.60, 106,416,171.60 and 36,903,896.80 is: 55,312,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000,101.60 : 106,416,171.60 = 36,903,896.80 : x
  2. Step 2: Convert to fraction form
    71,000,101.60/106,416,171.60 = 36,903,896.80/x
  3. Step 3: Cross multiply
    71,000,101.60x = 106,416,171.60 × 36,903,896.80
  4. Step 4: Simplify right side
    71,000,101.60x = 3,927,171,414,577,490.50
  5. Step 5: Solve for x
    x = 3,927,171,414,577,490.50/71,000,101.60
  6. Step 6: Final answer
    x = 55,312,194.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.