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Finding the Fourth Proportional to 38,630.57, 57,842.03 and 24,514.17

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Solution

The fourth proportional to 38,630.57, 57,842.03 and 24,514.17 is: 36,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,630.57 : 57,842.03 = 24,514.17 : x
  2. Step 2: Convert to fraction form
    38,630.57/57,842.03 = 24,514.17/x
  3. Step 3: Cross multiply
    38,630.57x = 57,842.03 × 24,514.17
  4. Step 4: Simplify right side
    38,630.57x = 1,417,949,267.74
  5. Step 5: Solve for x
    x = 1,417,949,267.74/38,630.57
  6. Step 6: Final answer
    x = 36,705.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.