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Finding the Fourth Proportional to 73,691.86, 110,445.30 and 31,522.36

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Solution

The fourth proportional to 73,691.86, 110,445.30 and 31,522.36 is: 47,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,691.86 : 110,445.30 = 31,522.36 : x
  2. Step 2: Convert to fraction form
    73,691.86/110,445.30 = 31,522.36/x
  3. Step 3: Cross multiply
    73,691.86x = 110,445.30 × 31,522.36
  4. Step 4: Simplify right side
    73,691.86x = 3,481,496,506.91
  5. Step 5: Solve for x
    x = 3,481,496,506.91/73,691.86
  6. Step 6: Final answer
    x = 47,243.98

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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.