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Finding the Fourth Proportional to 33,123.28, 49,689.84 and 10,939

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Solution

The fourth proportional to 33,123.28, 49,689.84 and 10,939 is: 16,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.28 : 49,689.84 = 10,939 : x
  2. Step 2: Convert to fraction form
    33,123.28/49,689.84 = 10,939/x
  3. Step 3: Cross multiply
    33,123.28x = 49,689.84 × 10,939
  4. Step 4: Simplify right side
    33,123.28x = 543,557,159.76
  5. Step 5: Solve for x
    x = 543,557,159.76/33,123.28
  6. Step 6: Final answer
    x = 16,410.12

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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.