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Finding the Fourth Proportional to 71,082.81, 106,620.57 and 26,706.15

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Solution

The fourth proportional to 71,082.81, 106,620.57 and 26,706.15 is: 40,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.81 : 106,620.57 = 26,706.15 : x
  2. Step 2: Convert to fraction form
    71,082.81/106,620.57 = 26,706.15/x
  3. Step 3: Cross multiply
    71,082.81x = 106,620.57 × 26,706.15
  4. Step 4: Simplify right side
    71,082.81x = 2,847,424,935.51
  5. Step 5: Solve for x
    x = 2,847,424,935.51/71,082.81
  6. Step 6: Final answer
    x = 40,057.86

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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.