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Finding the Fourth Proportional to 36,536, 54,806.70 and 26,737.16

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Solution

The fourth proportional to 36,536, 54,806.70 and 26,737.16 is: 40,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536 : 54,806.70 = 26,737.16 : x
  2. Step 2: Convert to fraction form
    36,536/54,806.70 = 26,737.16/x
  3. Step 3: Cross multiply
    36,536x = 54,806.70 × 26,737.16
  4. Step 4: Simplify right side
    36,536x = 1,465,375,506.97
  5. Step 5: Solve for x
    x = 1,465,375,506.97/36,536
  6. Step 6: Final answer
    x = 40,107.72

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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.