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Finding the Fourth Proportional to 30,882.39, 42,621.48 and 20,138.76

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Solution

The fourth proportional to 30,882.39, 42,621.48 and 20,138.76 is: 27,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.39 : 42,621.48 = 20,138.76 : x
  2. Step 2: Convert to fraction form
    30,882.39/42,621.48 = 20,138.76/x
  3. Step 3: Cross multiply
    30,882.39x = 42,621.48 × 20,138.76
  4. Step 4: Simplify right side
    30,882.39x = 858,343,442.76
  5. Step 5: Solve for x
    x = 858,343,442.76/30,882.39
  6. Step 6: Final answer
    x = 27,793.94

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