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Finding the Fourth Proportional to 83,175.72, 124,815.54 and 33,248.28

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Solution

The fourth proportional to 83,175.72, 124,815.54 and 33,248.28 is: 49,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.72 : 124,815.54 = 33,248.28 : x
  2. Step 2: Convert to fraction form
    83,175.72/124,815.54 = 33,248.28/x
  3. Step 3: Cross multiply
    83,175.72x = 124,815.54 × 33,248.28
  4. Step 4: Simplify right side
    83,175.72x = 4,149,902,022.27
  5. Step 5: Solve for x
    x = 4,149,902,022.27/83,175.72
  6. Step 6: Final answer
    x = 49,893.19

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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.