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Finding the Fourth Proportional to 33,082.40, 49,623.60 and 14,371.40

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Solution

The fourth proportional to 33,082.40, 49,623.60 and 14,371.40 is: 21,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.40 : 49,623.60 = 14,371.40 : x
  2. Step 2: Convert to fraction form
    33,082.40/49,623.60 = 14,371.40/x
  3. Step 3: Cross multiply
    33,082.40x = 49,623.60 × 14,371.40
  4. Step 4: Simplify right side
    33,082.40x = 713,160,605.04
  5. Step 5: Solve for x
    x = 713,160,605.04/33,082.40
  6. Step 6: Final answer
    x = 21,557.10

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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.