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Finding the Fourth Proportional to 33,082.68, 49,646.10 and 12,308.28

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Solution

The fourth proportional to 33,082.68, 49,646.10 and 12,308.28 is: 18,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.68 : 49,646.10 = 12,308.28 : x
  2. Step 2: Convert to fraction form
    33,082.68/49,646.10 = 12,308.28/x
  3. Step 3: Cross multiply
    33,082.68x = 49,646.10 × 12,308.28
  4. Step 4: Simplify right side
    33,082.68x = 611,058,099.71
  5. Step 5: Solve for x
    x = 611,058,099.71/33,082.68
  6. Step 6: Final answer
    x = 18,470.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.