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Finding the Fourth Proportional to 71,296.38, 106,908.57 and 41,723.10

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Solution

The fourth proportional to 71,296.38, 106,908.57 and 41,723.10 is: 62,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296.38 : 106,908.57 = 41,723.10 : x
  2. Step 2: Convert to fraction form
    71,296.38/106,908.57 = 41,723.10/x
  3. Step 3: Cross multiply
    71,296.38x = 106,908.57 × 41,723.10
  4. Step 4: Simplify right side
    71,296.38x = 4,460,556,956.97
  5. Step 5: Solve for x
    x = 4,460,556,956.97/71,296.38
  6. Step 6: Final answer
    x = 62,563.58

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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.