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Finding the Fourth Proportional to 57,082.93, 78,813.20 and 35,581.28

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Solution

The fourth proportional to 57,082.93, 78,813.20 and 35,581.28 is: 49,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082.93 : 78,813.20 = 35,581.28 : x
  2. Step 2: Convert to fraction form
    57,082.93/78,813.20 = 35,581.28/x
  3. Step 3: Cross multiply
    57,082.93x = 78,813.20 × 35,581.28
  4. Step 4: Simplify right side
    57,082.93x = 2,804,274,231.78
  5. Step 5: Solve for x
    x = 2,804,274,231.78/57,082.93
  6. Step 6: Final answer
    x = 49,126.32

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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.