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Finding the Fourth Proportional to 83,874.75, 115,724.19 and 58,352.46

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Solution

The fourth proportional to 83,874.75, 115,724.19 and 58,352.46 is: 80,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.75 : 115,724.19 = 58,352.46 : x
  2. Step 2: Convert to fraction form
    83,874.75/115,724.19 = 58,352.46/x
  3. Step 3: Cross multiply
    83,874.75x = 115,724.19 × 58,352.46
  4. Step 4: Simplify right side
    83,874.75x = 6,752,791,168.01
  5. Step 5: Solve for x
    x = 6,752,791,168.01/83,874.75
  6. Step 6: Final answer
    x = 80,510.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.