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Finding the Fourth Proportional to 83,171.64, 124,761.94 and 33,259.32

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Solution

The fourth proportional to 83,171.64, 124,761.94 and 33,259.32 is: 49,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.64 : 124,761.94 = 33,259.32 : x
  2. Step 2: Convert to fraction form
    83,171.64/124,761.94 = 33,259.32/x
  3. Step 3: Cross multiply
    83,171.64x = 124,761.94 × 33,259.32
  4. Step 4: Simplify right side
    83,171.64x = 4,149,497,286.28
  5. Step 5: Solve for x
    x = 4,149,497,286.28/83,171.64
  6. Step 6: Final answer
    x = 49,890.77

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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.