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Finding the Fourth Proportional to 75,102.82, 112,672.65 and 22,512.25

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Solution

The fourth proportional to 75,102.82, 112,672.65 and 22,512.25 is: 33,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.82 : 112,672.65 = 22,512.25 : x
  2. Step 2: Convert to fraction form
    75,102.82/112,672.65 = 22,512.25/x
  3. Step 3: Cross multiply
    75,102.82x = 112,672.65 × 22,512.25
  4. Step 4: Simplify right side
    75,102.82x = 2,536,514,864.96
  5. Step 5: Solve for x
    x = 2,536,514,864.96/75,102.82
  6. Step 6: Final answer
    x = 33,773.90

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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.