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Finding the Fourth Proportional to 42,516.26, 63,772.97 and 22,833.26

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Solution

The fourth proportional to 42,516.26, 63,772.97 and 22,833.26 is: 34,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,516.26 : 63,772.97 = 22,833.26 : x
  2. Step 2: Convert to fraction form
    42,516.26/63,772.97 = 22,833.26/x
  3. Step 3: Cross multiply
    42,516.26x = 63,772.97 × 22,833.26
  4. Step 4: Simplify right side
    42,516.26x = 1,456,144,371.95
  5. Step 5: Solve for x
    x = 1,456,144,371.95/42,516.26
  6. Step 6: Final answer
    x = 34,249.12

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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.