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Finding the Fourth Proportional to 75,238.84, 112,791.66 and 28,524.52

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Solution

The fourth proportional to 75,238.84, 112,791.66 and 28,524.52 is: 42,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238.84 : 112,791.66 = 28,524.52 : x
  2. Step 2: Convert to fraction form
    75,238.84/112,791.66 = 28,524.52/x
  3. Step 3: Cross multiply
    75,238.84x = 112,791.66 × 28,524.52
  4. Step 4: Simplify right side
    75,238.84x = 3,217,327,961.50
  5. Step 5: Solve for x
    x = 3,217,327,961.50/75,238.84
  6. Step 6: Final answer
    x = 42,761.53

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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.