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Finding the Fourth Proportional to 73,882.68, 110,824.20 and 29,513.04

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Solution

The fourth proportional to 73,882.68, 110,824.20 and 29,513.04 is: 44,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.68 : 110,824.20 = 29,513.04 : x
  2. Step 2: Convert to fraction form
    73,882.68/110,824.20 = 29,513.04/x
  3. Step 3: Cross multiply
    73,882.68x = 110,824.20 × 29,513.04
  4. Step 4: Simplify right side
    73,882.68x = 3,270,759,047.57
  5. Step 5: Solve for x
    x = 3,270,759,047.57/73,882.68
  6. Step 6: Final answer
    x = 44,269.63

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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.