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Finding the Fourth Proportional to 30,616.28, 42,251.57 and 17,877.61

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Solution

The fourth proportional to 30,616.28, 42,251.57 and 17,877.61 is: 24,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.28 : 42,251.57 = 17,877.61 : x
  2. Step 2: Convert to fraction form
    30,616.28/42,251.57 = 17,877.61/x
  3. Step 3: Cross multiply
    30,616.28x = 42,251.57 × 17,877.61
  4. Step 4: Simplify right side
    30,616.28x = 755,357,221.38
  5. Step 5: Solve for x
    x = 755,357,221.38/30,616.28
  6. Step 6: Final answer
    x = 24,671.75

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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.