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Finding the Fourth Proportional to 71,321.80, 106,982.70 and 66,656.20

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Solution

The fourth proportional to 71,321.80, 106,982.70 and 66,656.20 is: 99,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321.80 : 106,982.70 = 66,656.20 : x
  2. Step 2: Convert to fraction form
    71,321.80/106,982.70 = 66,656.20/x
  3. Step 3: Cross multiply
    71,321.80x = 106,982.70 × 66,656.20
  4. Step 4: Simplify right side
    71,321.80x = 7,131,060,247.74
  5. Step 5: Solve for x
    x = 7,131,060,247.74/71,321.80
  6. Step 6: Final answer
    x = 99,984.30

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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.