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Finding the Fourth Proportional to 47,251.92, 70,877.88 and 32,415.86

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Solution

The fourth proportional to 47,251.92, 70,877.88 and 32,415.86 is: 48,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.92 : 70,877.88 = 32,415.86 : x
  2. Step 2: Convert to fraction form
    47,251.92/70,877.88 = 32,415.86/x
  3. Step 3: Cross multiply
    47,251.92x = 70,877.88 × 32,415.86
  4. Step 4: Simplify right side
    47,251.92x = 2,297,567,080.79
  5. Step 5: Solve for x
    x = 2,297,567,080.79/47,251.92
  6. Step 6: Final answer
    x = 48,623.78

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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.