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Finding the Fourth Proportional to 26,082.27, 39,123.27 and 22,561.74

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Solution

The fourth proportional to 26,082.27, 39,123.27 and 22,561.74 is: 33,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082.27 : 39,123.27 = 22,561.74 : x
  2. Step 2: Convert to fraction form
    26,082.27/39,123.27 = 22,561.74/x
  3. Step 3: Cross multiply
    26,082.27x = 39,123.27 × 22,561.74
  4. Step 4: Simplify right side
    26,082.27x = 882,689,045.69
  5. Step 5: Solve for x
    x = 882,689,045.69/26,082.27
  6. Step 6: Final answer
    x = 33,842.49

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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.