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Finding the Fourth Proportional to 49,301.40, 68,042.96 and 28,082.64

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Solution

The fourth proportional to 49,301.40, 68,042.96 and 28,082.64 is: 38,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301.40 : 68,042.96 = 28,082.64 : x
  2. Step 2: Convert to fraction form
    49,301.40/68,042.96 = 28,082.64/x
  3. Step 3: Cross multiply
    49,301.40x = 68,042.96 × 28,082.64
  4. Step 4: Simplify right side
    49,301.40x = 1,910,825,950.21
  5. Step 5: Solve for x
    x = 1,910,825,950.21/49,301.40
  6. Step 6: Final answer
    x = 38,758.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.