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Finding the Fourth Proportional to 51,037.52, 76,559.26 and 15,500

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Solution

The fourth proportional to 51,037.52, 76,559.26 and 15,500 is: 23,250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,037.52 : 76,559.26 = 15,500 : x
  2. Step 2: Convert to fraction form
    51,037.52/76,559.26 = 15,500/x
  3. Step 3: Cross multiply
    51,037.52x = 76,559.26 × 15,500
  4. Step 4: Simplify right side
    51,037.52x = 1,186,668,530
  5. Step 5: Solve for x
    x = 1,186,668,530/51,037.52
  6. Step 6: Final answer
    x = 23,250.91

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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.