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Finding the Fourth Proportional to 92,177.60, 138,231.84 and 39,560

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Solution

The fourth proportional to 92,177.60, 138,231.84 and 39,560 is: 59,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,177.60 : 138,231.84 = 39,560 : x
  2. Step 2: Convert to fraction form
    92,177.60/138,231.84 = 39,560/x
  3. Step 3: Cross multiply
    92,177.60x = 138,231.84 × 39,560
  4. Step 4: Simplify right side
    92,177.60x = 5,468,451,590.40
  5. Step 5: Solve for x
    x = 5,468,451,590.40/92,177.60
  6. Step 6: Final answer
    x = 59,325.17

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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.