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Finding the Fourth Proportional to 30,708.38, 42,377.49 and 17,279.66

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Solution

The fourth proportional to 30,708.38, 42,377.49 and 17,279.66 is: 23,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.38 : 42,377.49 = 17,279.66 : x
  2. Step 2: Convert to fraction form
    30,708.38/42,377.49 = 17,279.66/x
  3. Step 3: Cross multiply
    30,708.38x = 42,377.49 × 17,279.66
  4. Step 4: Simplify right side
    30,708.38x = 732,268,724.80
  5. Step 5: Solve for x
    x = 732,268,724.80/30,708.38
  6. Step 6: Final answer
    x = 23,845.89

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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.