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Finding the Fourth Proportional to 73,916.76, 110,954.10 and 31,817.70

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Solution

The fourth proportional to 73,916.76, 110,954.10 and 31,817.70 is: 47,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,916.76 : 110,954.10 = 31,817.70 : x
  2. Step 2: Convert to fraction form
    73,916.76/110,954.10 = 31,817.70/x
  3. Step 3: Cross multiply
    73,916.76x = 110,954.10 × 31,817.70
  4. Step 4: Simplify right side
    73,916.76x = 3,530,304,267.57
  5. Step 5: Solve for x
    x = 3,530,304,267.57/73,916.76
  6. Step 6: Final answer
    x = 47,760.54

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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.