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Finding the Fourth Proportional to 33,710.68, 50,597 and 17,082.28

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Solution

The fourth proportional to 33,710.68, 50,597 and 17,082.28 is: 25,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.68 : 50,597 = 17,082.28 : x
  2. Step 2: Convert to fraction form
    33,710.68/50,597 = 17,082.28/x
  3. Step 3: Cross multiply
    33,710.68x = 50,597 × 17,082.28
  4. Step 4: Simplify right side
    33,710.68x = 864,312,121.16
  5. Step 5: Solve for x
    x = 864,312,121.16/33,710.68
  6. Step 6: Final answer
    x = 25,639.12

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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.