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Finding the Fourth Proportional to 92,294.48, 138,398.39 and 54,859.52

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Solution

The fourth proportional to 92,294.48, 138,398.39 and 54,859.52 is: 82,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,294.48 : 138,398.39 = 54,859.52 : x
  2. Step 2: Convert to fraction form
    92,294.48/138,398.39 = 54,859.52/x
  3. Step 3: Cross multiply
    92,294.48x = 138,398.39 × 54,859.52
  4. Step 4: Simplify right side
    92,294.48x = 7,592,468,969.88
  5. Step 5: Solve for x
    x = 7,592,468,969.88/92,294.48
  6. Step 6: Final answer
    x = 82,263.52

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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.