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Finding the Fourth Proportional to 54,426.78, 81,645.30 and 21,149.42

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Solution

The fourth proportional to 54,426.78, 81,645.30 and 21,149.42 is: 31,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,426.78 : 81,645.30 = 21,149.42 : x
  2. Step 2: Convert to fraction form
    54,426.78/81,645.30 = 21,149.42/x
  3. Step 3: Cross multiply
    54,426.78x = 81,645.30 × 21,149.42
  4. Step 4: Simplify right side
    54,426.78x = 1,726,750,332.50
  5. Step 5: Solve for x
    x = 1,726,750,332.50/54,426.78
  6. Step 6: Final answer
    x = 31,726.12

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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.