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Finding the Fourth Proportional to 82,399.92, 123,604.80 and 23,240.64

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Solution

The fourth proportional to 82,399.92, 123,604.80 and 23,240.64 is: 34,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,399.92 : 123,604.80 = 23,240.64 : x
  2. Step 2: Convert to fraction form
    82,399.92/123,604.80 = 23,240.64/x
  3. Step 3: Cross multiply
    82,399.92x = 123,604.80 × 23,240.64
  4. Step 4: Simplify right side
    82,399.92x = 2,872,654,659.07
  5. Step 5: Solve for x
    x = 2,872,654,659.07/82,399.92
  6. Step 6: Final answer
    x = 34,862.35

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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.