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Finding the Fourth Proportional to 80,952.60, 121,428.90 and 31,704.60

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Solution

The fourth proportional to 80,952.60, 121,428.90 and 31,704.60 is: 47,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,952.60 : 121,428.90 = 31,704.60 : x
  2. Step 2: Convert to fraction form
    80,952.60/121,428.90 = 31,704.60/x
  3. Step 3: Cross multiply
    80,952.60x = 121,428.90 × 31,704.60
  4. Step 4: Simplify right side
    80,952.60x = 3,849,854,702.94
  5. Step 5: Solve for x
    x = 3,849,854,702.94/80,952.60
  6. Step 6: Final answer
    x = 47,556.90

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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.