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Finding the Fourth Proportional to 81,791.82, 112,864.08 and 45,487.38

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Solution

The fourth proportional to 81,791.82, 112,864.08 and 45,487.38 is: 62,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,791.82 : 112,864.08 = 45,487.38 : x
  2. Step 2: Convert to fraction form
    81,791.82/112,864.08 = 45,487.38/x
  3. Step 3: Cross multiply
    81,791.82x = 112,864.08 × 45,487.38
  4. Step 4: Simplify right side
    81,791.82x = 5,133,891,295.31
  5. Step 5: Solve for x
    x = 5,133,891,295.31/81,791.82
  6. Step 6: Final answer
    x = 62,767.78

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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.