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Finding the Fourth Proportional to 71,150.84, 106,715.51 and 26,767.25

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Solution

The fourth proportional to 71,150.84, 106,715.51 and 26,767.25 is: 40,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150.84 : 106,715.51 = 26,767.25 : x
  2. Step 2: Convert to fraction form
    71,150.84/106,715.51 = 26,767.25/x
  3. Step 3: Cross multiply
    71,150.84x = 106,715.51 × 26,767.25
  4. Step 4: Simplify right side
    71,150.84x = 2,856,480,735.05
  5. Step 5: Solve for x
    x = 2,856,480,735.05/71,150.84
  6. Step 6: Final answer
    x = 40,146.83

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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.