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Finding the Fourth Proportional to 74,318.73, 111,451.17 and 31,627

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Solution

The fourth proportional to 74,318.73, 111,451.17 and 31,627 is: 47,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,318.73 : 111,451.17 = 31,627 : x
  2. Step 2: Convert to fraction form
    74,318.73/111,451.17 = 31,627/x
  3. Step 3: Cross multiply
    74,318.73x = 111,451.17 × 31,627
  4. Step 4: Simplify right side
    74,318.73x = 3,524,866,153.59
  5. Step 5: Solve for x
    x = 3,524,866,153.59/74,318.73
  6. Step 6: Final answer
    x = 47,429.04

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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.