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Finding the Fourth Proportional to 51,773.20, 77,659.87 and 15,749.97

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Solution

The fourth proportional to 51,773.20, 77,659.87 and 15,749.97 is: 23,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.20 : 77,659.87 = 15,749.97 : x
  2. Step 2: Convert to fraction form
    51,773.20/77,659.87 = 15,749.97/x
  3. Step 3: Cross multiply
    51,773.20x = 77,659.87 × 15,749.97
  4. Step 4: Simplify right side
    51,773.20x = 1,223,140,622.70
  5. Step 5: Solve for x
    x = 1,223,140,622.70/51,773.20
  6. Step 6: Final answer
    x = 23,624.98

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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.