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Finding the Fourth Proportional to 74,489.46, 111,684.87 and 29,481

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Solution

The fourth proportional to 74,489.46, 111,684.87 and 29,481 is: 44,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,489.46 : 111,684.87 = 29,481 : x
  2. Step 2: Convert to fraction form
    74,489.46/111,684.87 = 29,481/x
  3. Step 3: Cross multiply
    74,489.46x = 111,684.87 × 29,481
  4. Step 4: Simplify right side
    74,489.46x = 3,292,581,652.47
  5. Step 5: Solve for x
    x = 3,292,581,652.47/74,489.46
  6. Step 6: Final answer
    x = 44,201.98

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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.