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Finding the Fourth Proportional to 83,863.92, 125,797.16 and 21,533.04

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Solution

The fourth proportional to 83,863.92, 125,797.16 and 21,533.04 is: 32,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.92 : 125,797.16 = 21,533.04 : x
  2. Step 2: Convert to fraction form
    83,863.92/125,797.16 = 21,533.04/x
  3. Step 3: Cross multiply
    83,863.92x = 125,797.16 × 21,533.04
  4. Step 4: Simplify right side
    83,863.92x = 2,708,795,278.17
  5. Step 5: Solve for x
    x = 2,708,795,278.17/83,863.92
  6. Step 6: Final answer
    x = 32,299.89

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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.