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Finding the Fourth Proportional to 92,398.49, 138,576.54 and 25,843.32

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Solution

The fourth proportional to 92,398.49, 138,576.54 and 25,843.32 is: 38,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,398.49 : 138,576.54 = 25,843.32 : x
  2. Step 2: Convert to fraction form
    92,398.49/138,576.54 = 25,843.32/x
  3. Step 3: Cross multiply
    92,398.49x = 138,576.54 × 25,843.32
  4. Step 4: Simplify right side
    92,398.49x = 3,581,277,867.71
  5. Step 5: Solve for x
    x = 3,581,277,867.71/92,398.49
  6. Step 6: Final answer
    x = 38,759.05

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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.