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Finding the Fourth Proportional to 71,082.70, 106,558.13 and 26,738.84

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Solution

The fourth proportional to 71,082.70, 106,558.13 and 26,738.84 is: 40,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.70 : 106,558.13 = 26,738.84 : x
  2. Step 2: Convert to fraction form
    71,082.70/106,558.13 = 26,738.84/x
  3. Step 3: Cross multiply
    71,082.70x = 106,558.13 × 26,738.84
  4. Step 4: Simplify right side
    71,082.70x = 2,849,241,122.01
  5. Step 5: Solve for x
    x = 2,849,241,122.01/71,082.70
  6. Step 6: Final answer
    x = 40,083.47

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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.