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Finding the Fourth Proportional to 71,659.89, 107,502.77 and 29,516.97

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Solution

The fourth proportional to 71,659.89, 107,502.77 and 29,516.97 is: 44,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659.89 : 107,502.77 = 29,516.97 : x
  2. Step 2: Convert to fraction form
    71,659.89/107,502.77 = 29,516.97/x
  3. Step 3: Cross multiply
    71,659.89x = 107,502.77 × 29,516.97
  4. Step 4: Simplify right side
    71,659.89x = 3,173,155,889.42
  5. Step 5: Solve for x
    x = 3,173,155,889.42/71,659.89
  6. Step 6: Final answer
    x = 44,280.78

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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.