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Finding the Fourth Proportional to 40,234.46, 55,515.44 and 24,319.77

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Solution

The fourth proportional to 40,234.46, 55,515.44 and 24,319.77 is: 33,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,234.46 : 55,515.44 = 24,319.77 : x
  2. Step 2: Convert to fraction form
    40,234.46/55,515.44 = 24,319.77/x
  3. Step 3: Cross multiply
    40,234.46x = 55,515.44 × 24,319.77
  4. Step 4: Simplify right side
    40,234.46x = 1,350,122,610.65
  5. Step 5: Solve for x
    x = 1,350,122,610.65/40,234.46
  6. Step 6: Final answer
    x = 33,556.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.