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Finding the Fourth Proportional to 83,311.20, 124,966.80 and 48,340.80

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Solution

The fourth proportional to 83,311.20, 124,966.80 and 48,340.80 is: 72,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.20 : 124,966.80 = 48,340.80 : x
  2. Step 2: Convert to fraction form
    83,311.20/124,966.80 = 48,340.80/x
  3. Step 3: Cross multiply
    83,311.20x = 124,966.80 × 48,340.80
  4. Step 4: Simplify right side
    83,311.20x = 6,040,995,085.44
  5. Step 5: Solve for x
    x = 6,040,995,085.44/83,311.20
  6. Step 6: Final answer
    x = 72,511.20

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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.