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Finding the Fourth Proportional to 47,472.52, 65,565.92 and 32,338.96

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Solution

The fourth proportional to 47,472.52, 65,565.92 and 32,338.96 is: 44,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472.52 : 65,565.92 = 32,338.96 : x
  2. Step 2: Convert to fraction form
    47,472.52/65,565.92 = 32,338.96/x
  3. Step 3: Cross multiply
    47,472.52x = 65,565.92 × 32,338.96
  4. Step 4: Simplify right side
    47,472.52x = 2,120,333,664.24
  5. Step 5: Solve for x
    x = 2,120,333,664.24/47,472.52
  6. Step 6: Final answer
    x = 44,664.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.