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Finding the Fourth Proportional to 73,542.72, 110,193.12 and 42,404.16

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Solution

The fourth proportional to 73,542.72, 110,193.12 and 42,404.16 is: 63,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,542.72 : 110,193.12 = 42,404.16 : x
  2. Step 2: Convert to fraction form
    73,542.72/110,193.12 = 42,404.16/x
  3. Step 3: Cross multiply
    73,542.72x = 110,193.12 × 42,404.16
  4. Step 4: Simplify right side
    73,542.72x = 4,672,646,691.38
  5. Step 5: Solve for x
    x = 4,672,646,691.38/73,542.72
  6. Step 6: Final answer
    x = 63,536.50

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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.