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Finding the Fourth Proportional to 30,882.17, 42,616.45 and 18,135.16

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Solution

The fourth proportional to 30,882.17, 42,616.45 and 18,135.16 is: 25,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.17 : 42,616.45 = 18,135.16 : x
  2. Step 2: Convert to fraction form
    30,882.17/42,616.45 = 18,135.16/x
  3. Step 3: Cross multiply
    30,882.17x = 42,616.45 × 18,135.16
  4. Step 4: Simplify right side
    30,882.17x = 772,856,139.38
  5. Step 5: Solve for x
    x = 772,856,139.38/30,882.17
  6. Step 6: Final answer
    x = 25,025.97

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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.