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Finding the Fourth Proportional to 30,010.56, 41,414.67 and 16,581.78

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Solution

The fourth proportional to 30,010.56, 41,414.67 and 16,581.78 is: 22,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.56 : 41,414.67 = 16,581.78 : x
  2. Step 2: Convert to fraction form
    30,010.56/41,414.67 = 16,581.78/x
  3. Step 3: Cross multiply
    30,010.56x = 41,414.67 × 16,581.78
  4. Step 4: Simplify right side
    30,010.56x = 686,728,946.71
  5. Step 5: Solve for x
    x = 686,728,946.71/30,010.56
  6. Step 6: Final answer
    x = 22,882.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.