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Finding the Fourth Proportional to 56,713.74, 85,064.13 and 15,163.98

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Solution

The fourth proportional to 56,713.74, 85,064.13 and 15,163.98 is: 22,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,713.74 : 85,064.13 = 15,163.98 : x
  2. Step 2: Convert to fraction form
    56,713.74/85,064.13 = 15,163.98/x
  3. Step 3: Cross multiply
    56,713.74x = 85,064.13 × 15,163.98
  4. Step 4: Simplify right side
    56,713.74x = 1,289,910,766.04
  5. Step 5: Solve for x
    x = 1,289,910,766.04/56,713.74
  6. Step 6: Final answer
    x = 22,744.24

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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.