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Finding the Fourth Proportional to 90,884.50, 136,339.17 and 31,711.48

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Solution

The fourth proportional to 90,884.50, 136,339.17 and 31,711.48 is: 47,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,884.50 : 136,339.17 = 31,711.48 : x
  2. Step 2: Convert to fraction form
    90,884.50/136,339.17 = 31,711.48/x
  3. Step 3: Cross multiply
    90,884.50x = 136,339.17 × 31,711.48
  4. Step 4: Simplify right side
    90,884.50x = 4,323,516,862.67
  5. Step 5: Solve for x
    x = 4,323,516,862.67/90,884.50
  6. Step 6: Final answer
    x = 47,571.55

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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.