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Finding the Fourth Proportional to 92,414.62, 138,630.66 and 25,854.76

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Solution

The fourth proportional to 92,414.62, 138,630.66 and 25,854.76 is: 38,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414.62 : 138,630.66 = 25,854.76 : x
  2. Step 2: Convert to fraction form
    92,414.62/138,630.66 = 25,854.76/x
  3. Step 3: Cross multiply
    92,414.62x = 138,630.66 × 25,854.76
  4. Step 4: Simplify right side
    92,414.62x = 3,584,262,442.94
  5. Step 5: Solve for x
    x = 3,584,262,442.94/92,414.62
  6. Step 6: Final answer
    x = 38,784.58

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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.