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Finding the Fourth Proportional to 71,225.29, 106,853.06 and 26,850.97

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Solution

The fourth proportional to 71,225.29, 106,853.06 and 26,850.97 is: 40,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225.29 : 106,853.06 = 26,850.97 : x
  2. Step 2: Convert to fraction form
    71,225.29/106,853.06 = 26,850.97/x
  3. Step 3: Cross multiply
    71,225.29x = 106,853.06 × 26,850.97
  4. Step 4: Simplify right side
    71,225.29x = 2,869,108,174.21
  5. Step 5: Solve for x
    x = 2,869,108,174.21/71,225.29
  6. Step 6: Final answer
    x = 40,282.16

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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.