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Finding the Fourth Proportional to 40,473.74, 60,691.76 and 13,812.50

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Solution

The fourth proportional to 40,473.74, 60,691.76 and 13,812.50 is: 20,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,473.74 : 60,691.76 = 13,812.50 : x
  2. Step 2: Convert to fraction form
    40,473.74/60,691.76 = 13,812.50/x
  3. Step 3: Cross multiply
    40,473.74x = 60,691.76 × 13,812.50
  4. Step 4: Simplify right side
    40,473.74x = 838,304,859.92
  5. Step 5: Solve for x
    x = 838,304,859.92/40,473.74
  6. Step 6: Final answer
    x = 20,712.32

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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.