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Finding the Fourth Proportional to 51,273.76, 76,899.12 and 18,441.76

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Solution

The fourth proportional to 51,273.76, 76,899.12 and 18,441.76 is: 27,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,273.76 : 76,899.12 = 18,441.76 : x
  2. Step 2: Convert to fraction form
    51,273.76/76,899.12 = 18,441.76/x
  3. Step 3: Cross multiply
    51,273.76x = 76,899.12 × 18,441.76
  4. Step 4: Simplify right side
    51,273.76x = 1,418,155,115.25
  5. Step 5: Solve for x
    x = 1,418,155,115.25/51,273.76
  6. Step 6: Final answer
    x = 27,658.50

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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.