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Finding the Fourth Proportional to 37,691.50, 56,563.17 and 13,067.50

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Solution

The fourth proportional to 37,691.50, 56,563.17 and 13,067.50 is: 19,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,691.50 : 56,563.17 = 13,067.50 : x
  2. Step 2: Convert to fraction form
    37,691.50/56,563.17 = 13,067.50/x
  3. Step 3: Cross multiply
    37,691.50x = 56,563.17 × 13,067.50
  4. Step 4: Simplify right side
    37,691.50x = 739,139,223.98
  5. Step 5: Solve for x
    x = 739,139,223.98/37,691.50
  6. Step 6: Final answer
    x = 19,610.24

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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.