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Finding the Fourth Proportional to 47,251.88, 70,877.97 and 32,415.83

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Solution

The fourth proportional to 47,251.88, 70,877.97 and 32,415.83 is: 48,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.88 : 70,877.97 = 32,415.83 : x
  2. Step 2: Convert to fraction form
    47,251.88/70,877.97 = 32,415.83/x
  3. Step 3: Cross multiply
    47,251.88x = 70,877.97 × 32,415.83
  4. Step 4: Simplify right side
    47,251.88x = 2,297,567,871.88
  5. Step 5: Solve for x
    x = 2,297,567,871.88/47,251.88
  6. Step 6: Final answer
    x = 48,623.85

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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.