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Finding the Fourth Proportional to 71,302.68, 107,147.88 and 38,046.24

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Solution

The fourth proportional to 71,302.68, 107,147.88 and 38,046.24 is: 57,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,302.68 : 107,147.88 = 38,046.24 : x
  2. Step 2: Convert to fraction form
    71,302.68/107,147.88 = 38,046.24/x
  3. Step 3: Cross multiply
    71,302.68x = 107,147.88 × 38,046.24
  4. Step 4: Simplify right side
    71,302.68x = 4,076,573,957.97
  5. Step 5: Solve for x
    x = 4,076,573,957.97/71,302.68
  6. Step 6: Final answer
    x = 57,172.80

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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.