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Finding the Fourth Proportional to 75,082.72, 112,634 and 27,731.10

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Solution

The fourth proportional to 75,082.72, 112,634 and 27,731.10 is: 41,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.72 : 112,634 = 27,731.10 : x
  2. Step 2: Convert to fraction form
    75,082.72/112,634 = 27,731.10/x
  3. Step 3: Cross multiply
    75,082.72x = 112,634 × 27,731.10
  4. Step 4: Simplify right side
    75,082.72x = 3,123,464,717.40
  5. Step 5: Solve for x
    x = 3,123,464,717.40/75,082.72
  6. Step 6: Final answer
    x = 41,600.31

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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.