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Finding the Fourth Proportional to 32,471.92, 48,668.67 and 15,806.98

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Solution

The fourth proportional to 32,471.92, 48,668.67 and 15,806.98 is: 23,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.92 : 48,668.67 = 15,806.98 : x
  2. Step 2: Convert to fraction form
    32,471.92/48,668.67 = 15,806.98/x
  3. Step 3: Cross multiply
    32,471.92x = 48,668.67 × 15,806.98
  4. Step 4: Simplify right side
    32,471.92x = 769,304,693.32
  5. Step 5: Solve for x
    x = 769,304,693.32/32,471.92
  6. Step 6: Final answer
    x = 23,691.38

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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.