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Finding the Fourth Proportional to 55,882.24, 83,778.18 and 18,418.93

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Solution

The fourth proportional to 55,882.24, 83,778.18 and 18,418.93 is: 27,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,882.24 : 83,778.18 = 18,418.93 : x
  2. Step 2: Convert to fraction form
    55,882.24/83,778.18 = 18,418.93/x
  3. Step 3: Cross multiply
    55,882.24x = 83,778.18 × 18,418.93
  4. Step 4: Simplify right side
    55,882.24x = 1,543,104,432.95
  5. Step 5: Solve for x
    x = 1,543,104,432.95/55,882.24
  6. Step 6: Final answer
    x = 27,613.50

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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.