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Finding the Fourth Proportional to 52,033.38, 71,806.06 and 28,160.22

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Solution

The fourth proportional to 52,033.38, 71,806.06 and 28,160.22 is: 38,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.38 : 71,806.06 = 28,160.22 : x
  2. Step 2: Convert to fraction form
    52,033.38/71,806.06 = 28,160.22/x
  3. Step 3: Cross multiply
    52,033.38x = 71,806.06 × 28,160.22
  4. Step 4: Simplify right side
    52,033.38x = 2,022,074,446.93
  5. Step 5: Solve for x
    x = 2,022,074,446.93/52,033.38
  6. Step 6: Final answer
    x = 38,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.