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Finding the Fourth Proportional to 30,923.38, 42,680.42 and 17,494.66

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Solution

The fourth proportional to 30,923.38, 42,680.42 and 17,494.66 is: 24,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.38 : 42,680.42 = 17,494.66 : x
  2. Step 2: Convert to fraction form
    30,923.38/42,680.42 = 17,494.66/x
  3. Step 3: Cross multiply
    30,923.38x = 42,680.42 × 17,494.66
  4. Step 4: Simplify right side
    30,923.38x = 746,679,436.56
  5. Step 5: Solve for x
    x = 746,679,436.56/30,923.38
  6. Step 6: Final answer
    x = 24,146.11

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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.