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Finding the Fourth Proportional to 47,641.62, 71,472 and 16,050.42

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Solution

The fourth proportional to 47,641.62, 71,472 and 16,050.42 is: 24,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.62 : 71,472 = 16,050.42 : x
  2. Step 2: Convert to fraction form
    47,641.62/71,472 = 16,050.42/x
  3. Step 3: Cross multiply
    47,641.62x = 71,472 × 16,050.42
  4. Step 4: Simplify right side
    47,641.62x = 1,147,155,618.24
  5. Step 5: Solve for x
    x = 1,147,155,618.24/47,641.62
  6. Step 6: Final answer
    x = 24,078.85

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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.