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Finding the Fourth Proportional to 106,757.84, 160,082.33 and 35,654.88

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Solution

The fourth proportional to 106,757.84, 160,082.33 and 35,654.88 is: 53,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,757.84 : 160,082.33 = 35,654.88 : x
  2. Step 2: Convert to fraction form
    106,757.84/160,082.33 = 35,654.88/x
  3. Step 3: Cross multiply
    106,757.84x = 160,082.33 × 35,654.88
  4. Step 4: Simplify right side
    106,757.84x = 5,707,716,266.27
  5. Step 5: Solve for x
    x = 5,707,716,266.27/106,757.84
  6. Step 6: Final answer
    x = 53,464.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.