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Finding the Fourth Proportional to 54,866.82, 82,238.10 and 25,223.46

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Solution

The fourth proportional to 54,866.82, 82,238.10 and 25,223.46 is: 37,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.82 : 82,238.10 = 25,223.46 : x
  2. Step 2: Convert to fraction form
    54,866.82/82,238.10 = 25,223.46/x
  3. Step 3: Cross multiply
    54,866.82x = 82,238.10 × 25,223.46
  4. Step 4: Simplify right side
    54,866.82x = 2,074,329,425.83
  5. Step 5: Solve for x
    x = 2,074,329,425.83/54,866.82
  6. Step 6: Final answer
    x = 37,806.63

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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.