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Finding the Fourth Proportional to 73,642.33, 110,461.29 and 20,337.56

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Solution

The fourth proportional to 73,642.33, 110,461.29 and 20,337.56 is: 30,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,642.33 : 110,461.29 = 20,337.56 : x
  2. Step 2: Convert to fraction form
    73,642.33/110,461.29 = 20,337.56/x
  3. Step 3: Cross multiply
    73,642.33x = 110,461.29 × 20,337.56
  4. Step 4: Simplify right side
    73,642.33x = 2,246,513,113.05
  5. Step 5: Solve for x
    x = 2,246,513,113.05/73,642.33
  6. Step 6: Final answer
    x = 30,505.73

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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.