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Finding the Fourth Proportional to 99,932.38, 137,908.49 and 54,612.27

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Solution

The fourth proportional to 99,932.38, 137,908.49 and 54,612.27 is: 75,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,932.38 : 137,908.49 = 54,612.27 : x
  2. Step 2: Convert to fraction form
    99,932.38/137,908.49 = 54,612.27/x
  3. Step 3: Cross multiply
    99,932.38x = 137,908.49 × 54,612.27
  4. Step 4: Simplify right side
    99,932.38x = 7,531,495,418.11
  5. Step 5: Solve for x
    x = 7,531,495,418.11/99,932.38
  6. Step 6: Final answer
    x = 75,365.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.