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Finding the Fourth Proportional to 84,467.60, 116,563.80 and 48,657.50

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Solution

The fourth proportional to 84,467.60, 116,563.80 and 48,657.50 is: 67,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,467.60 : 116,563.80 = 48,657.50 : x
  2. Step 2: Convert to fraction form
    84,467.60/116,563.80 = 48,657.50/x
  3. Step 3: Cross multiply
    84,467.60x = 116,563.80 × 48,657.50
  4. Step 4: Simplify right side
    84,467.60x = 5,671,703,098.50
  5. Step 5: Solve for x
    x = 5,671,703,098.50/84,467.60
  6. Step 6: Final answer
    x = 67,146.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.