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Finding the Fourth Proportional to 71,688.93, 107,534.01 and 24,909

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Solution

The fourth proportional to 71,688.93, 107,534.01 and 24,909 is: 37,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,688.93 : 107,534.01 = 24,909 : x
  2. Step 2: Convert to fraction form
    71,688.93/107,534.01 = 24,909/x
  3. Step 3: Cross multiply
    71,688.93x = 107,534.01 × 24,909
  4. Step 4: Simplify right side
    71,688.93x = 2,678,564,655.09
  5. Step 5: Solve for x
    x = 2,678,564,655.09/71,688.93
  6. Step 6: Final answer
    x = 37,363.71

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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.