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Finding the Fourth Proportional to 32,142.32, 48,244.59 and 15,514.06

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Solution

The fourth proportional to 32,142.32, 48,244.59 and 15,514.06 is: 23,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.32 : 48,244.59 = 15,514.06 : x
  2. Step 2: Convert to fraction form
    32,142.32/48,244.59 = 15,514.06/x
  3. Step 3: Cross multiply
    32,142.32x = 48,244.59 × 15,514.06
  4. Step 4: Simplify right side
    32,142.32x = 748,469,463.94
  5. Step 5: Solve for x
    x = 748,469,463.94/32,142.32
  6. Step 6: Final answer
    x = 23,286.11

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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.