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Finding the Fourth Proportional to 38,057.28, 52,515.36 and 22,143.84

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Solution

The fourth proportional to 38,057.28, 52,515.36 and 22,143.84 is: 30,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.28 : 52,515.36 = 22,143.84 : x
  2. Step 2: Convert to fraction form
    38,057.28/52,515.36 = 22,143.84/x
  3. Step 3: Cross multiply
    38,057.28x = 52,515.36 × 22,143.84
  4. Step 4: Simplify right side
    38,057.28x = 1,162,891,729.38
  5. Step 5: Solve for x
    x = 1,162,891,729.38/38,057.28
  6. Step 6: Final answer
    x = 30,556.35

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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.