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Finding the Fourth Proportional to 75,481.84, 113,253.50 and 38,052.71

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Solution

The fourth proportional to 75,481.84, 113,253.50 and 38,052.71 is: 57,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,481.84 : 113,253.50 = 38,052.71 : x
  2. Step 2: Convert to fraction form
    75,481.84/113,253.50 = 38,052.71/x
  3. Step 3: Cross multiply
    75,481.84x = 113,253.50 × 38,052.71
  4. Step 4: Simplify right side
    75,481.84x = 4,309,602,120.85
  5. Step 5: Solve for x
    x = 4,309,602,120.85/75,481.84
  6. Step 6: Final answer
    x = 57,094.56

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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.