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Finding the Fourth Proportional to 71,875.72, 107,792.82 and 24,489.76

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Solution

The fourth proportional to 71,875.72, 107,792.82 and 24,489.76 is: 36,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,875.72 : 107,792.82 = 24,489.76 : x
  2. Step 2: Convert to fraction form
    71,875.72/107,792.82 = 24,489.76/x
  3. Step 3: Cross multiply
    71,875.72x = 107,792.82 × 24,489.76
  4. Step 4: Simplify right side
    71,875.72x = 2,639,820,291.52
  5. Step 5: Solve for x
    x = 2,639,820,291.52/71,875.72
  6. Step 6: Final answer
    x = 36,727.57

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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.