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Finding the Fourth Proportional to 75,251.46, 112,883.34 and 37,792.27

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Solution

The fourth proportional to 75,251.46, 112,883.34 and 37,792.27 is: 56,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251.46 : 112,883.34 = 37,792.27 : x
  2. Step 2: Convert to fraction form
    75,251.46/112,883.34 = 37,792.27/x
  3. Step 3: Cross multiply
    75,251.46x = 112,883.34 × 37,792.27
  4. Step 4: Simplify right side
    75,251.46x = 4,266,117,734.03
  5. Step 5: Solve for x
    x = 4,266,117,734.03/75,251.46
  6. Step 6: Final answer
    x = 56,691.49

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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.