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Finding the Fourth Proportional to 71,513.42, 107,304.75 and 29,424.60

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Solution

The fourth proportional to 71,513.42, 107,304.75 and 29,424.60 is: 44,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,513.42 : 107,304.75 = 29,424.60 : x
  2. Step 2: Convert to fraction form
    71,513.42/107,304.75 = 29,424.60/x
  3. Step 3: Cross multiply
    71,513.42x = 107,304.75 × 29,424.60
  4. Step 4: Simplify right side
    71,513.42x = 3,157,399,346.85
  5. Step 5: Solve for x
    x = 3,157,399,346.85/71,513.42
  6. Step 6: Final answer
    x = 44,151.15

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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.