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Finding the Fourth Proportional to 82,593.32, 123,898.14 and 26,419.32

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Solution

The fourth proportional to 82,593.32, 123,898.14 and 26,419.32 is: 39,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,593.32 : 123,898.14 = 26,419.32 : x
  2. Step 2: Convert to fraction form
    82,593.32/123,898.14 = 26,419.32/x
  3. Step 3: Cross multiply
    82,593.32x = 123,898.14 × 26,419.32
  4. Step 4: Simplify right side
    82,593.32x = 3,273,304,608.06
  5. Step 5: Solve for x
    x = 3,273,304,608.06/82,593.32
  6. Step 6: Final answer
    x = 39,631.59

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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.