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Finding the Fourth Proportional to 33,200.28, 45,826.02 and 21,878.10

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Solution

The fourth proportional to 33,200.28, 45,826.02 and 21,878.10 is: 30,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.28 : 45,826.02 = 21,878.10 : x
  2. Step 2: Convert to fraction form
    33,200.28/45,826.02 = 21,878.10/x
  3. Step 3: Cross multiply
    33,200.28x = 45,826.02 × 21,878.10
  4. Step 4: Simplify right side
    33,200.28x = 1,002,586,248.16
  5. Step 5: Solve for x
    x = 1,002,586,248.16/33,200.28
  6. Step 6: Final answer
    x = 30,198.13

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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.