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Finding the Fourth Proportional to 92,230.29, 138,379.46 and 36,097.29

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Solution

The fourth proportional to 92,230.29, 138,379.46 and 36,097.29 is: 54,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,230.29 : 138,379.46 = 36,097.29 : x
  2. Step 2: Convert to fraction form
    92,230.29/138,379.46 = 36,097.29/x
  3. Step 3: Cross multiply
    92,230.29x = 138,379.46 × 36,097.29
  4. Step 4: Simplify right side
    92,230.29x = 4,995,123,317.18
  5. Step 5: Solve for x
    x = 4,995,123,317.18/92,230.29
  6. Step 6: Final answer
    x = 54,159.25

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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.