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Finding the Fourth Proportional to 84,031.50, 126,046.78 and 48,469.77

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Solution

The fourth proportional to 84,031.50, 126,046.78 and 48,469.77 is: 72,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,031.50 : 126,046.78 = 48,469.77 : x
  2. Step 2: Convert to fraction form
    84,031.50/126,046.78 = 48,469.77/x
  3. Step 3: Cross multiply
    84,031.50x = 126,046.78 × 48,469.77
  4. Step 4: Simplify right side
    84,031.50x = 6,109,458,232.80
  5. Step 5: Solve for x
    x = 6,109,458,232.80/84,031.50
  6. Step 6: Final answer
    x = 72,704.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.