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Finding the Fourth Proportional to 49,595.27, 68,424.82 and 28,082.07

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Solution

The fourth proportional to 49,595.27, 68,424.82 and 28,082.07 is: 38,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,595.27 : 68,424.82 = 28,082.07 : x
  2. Step 2: Convert to fraction form
    49,595.27/68,424.82 = 28,082.07/x
  3. Step 3: Cross multiply
    49,595.27x = 68,424.82 × 28,082.07
  4. Step 4: Simplify right side
    49,595.27x = 1,921,510,514.77
  5. Step 5: Solve for x
    x = 1,921,510,514.77/49,595.27
  6. Step 6: Final answer
    x = 38,743.83

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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.