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Finding the Fourth Proportional to 42,471.75, 63,708.17 and 14,769.75

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Solution

The fourth proportional to 42,471.75, 63,708.17 and 14,769.75 is: 22,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471.75 : 63,708.17 = 14,769.75 : x
  2. Step 2: Convert to fraction form
    42,471.75/63,708.17 = 14,769.75/x
  3. Step 3: Cross multiply
    42,471.75x = 63,708.17 × 14,769.75
  4. Step 4: Simplify right side
    42,471.75x = 940,953,670.01
  5. Step 5: Solve for x
    x = 940,953,670.01/42,471.75
  6. Step 6: Final answer
    x = 22,154.81

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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.