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Finding the Fourth Proportional to 32,397.52, 48,512.21 and 27,747.42

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Solution

The fourth proportional to 32,397.52, 48,512.21 and 27,747.42 is: 41,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,397.52 : 48,512.21 = 27,747.42 : x
  2. Step 2: Convert to fraction form
    32,397.52/48,512.21 = 27,747.42/x
  3. Step 3: Cross multiply
    32,397.52x = 48,512.21 × 27,747.42
  4. Step 4: Simplify right side
    32,397.52x = 1,346,088,666.00
  5. Step 5: Solve for x
    x = 1,346,088,666.00/32,397.52
  6. Step 6: Final answer
    x = 41,549.13

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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.