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Finding the Fourth Proportional to 47,472.68, 71,235.77 and 32,693.42

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Solution

The fourth proportional to 47,472.68, 71,235.77 and 32,693.42 is: 49,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,472.68 : 71,235.77 = 32,693.42 : x
  2. Step 2: Convert to fraction form
    47,472.68/71,235.77 = 32,693.42/x
  3. Step 3: Cross multiply
    47,472.68x = 71,235.77 × 32,693.42
  4. Step 4: Simplify right side
    47,472.68x = 2,328,940,962.26
  5. Step 5: Solve for x
    x = 2,328,940,962.26/47,472.68
  6. Step 6: Final answer
    x = 49,058.55

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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.