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Finding the Fourth Proportional to 83,250.92, 124,863.78 and 30,647.90

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Solution

The fourth proportional to 83,250.92, 124,863.78 and 30,647.90 is: 45,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,250.92 : 124,863.78 = 30,647.90 : x
  2. Step 2: Convert to fraction form
    83,250.92/124,863.78 = 30,647.90/x
  3. Step 3: Cross multiply
    83,250.92x = 124,863.78 × 30,647.90
  4. Step 4: Simplify right side
    83,250.92x = 3,826,812,643.06
  5. Step 5: Solve for x
    x = 3,826,812,643.06/83,250.92
  6. Step 6: Final answer
    x = 45,967.21

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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.