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Finding the Fourth Proportional to 74,732.96, 112,077.52 and 27,974.88

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Solution

The fourth proportional to 74,732.96, 112,077.52 and 27,974.88 is: 41,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,732.96 : 112,077.52 = 27,974.88 : x
  2. Step 2: Convert to fraction form
    74,732.96/112,077.52 = 27,974.88/x
  3. Step 3: Cross multiply
    74,732.96x = 112,077.52 × 27,974.88
  4. Step 4: Simplify right side
    74,732.96x = 3,135,355,172.70
  5. Step 5: Solve for x
    x = 3,135,355,172.70/74,732.96
  6. Step 6: Final answer
    x = 41,954.11

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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.