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Finding the Fourth Proportional to 47,305.76, 70,958.65 and 32,469.71

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Solution

The fourth proportional to 47,305.76, 70,958.65 and 32,469.71 is: 48,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.76 : 70,958.65 = 32,469.71 : x
  2. Step 2: Convert to fraction form
    47,305.76/70,958.65 = 32,469.71/x
  3. Step 3: Cross multiply
    47,305.76x = 70,958.65 × 32,469.71
  4. Step 4: Simplify right side
    47,305.76x = 2,304,006,351.52
  5. Step 5: Solve for x
    x = 2,304,006,351.52/47,305.76
  6. Step 6: Final answer
    x = 48,704.56

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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.