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Finding the Fourth Proportional to 30,191.49, 41,665.46 and 17,444.25

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Solution

The fourth proportional to 30,191.49, 41,665.46 and 17,444.25 is: 24,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191.49 : 41,665.46 = 17,444.25 : x
  2. Step 2: Convert to fraction form
    30,191.49/41,665.46 = 17,444.25/x
  3. Step 3: Cross multiply
    30,191.49x = 41,665.46 × 17,444.25
  4. Step 4: Simplify right side
    30,191.49x = 726,822,613.38
  5. Step 5: Solve for x
    x = 726,822,613.38/30,191.49
  6. Step 6: Final answer
    x = 24,073.76

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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.