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Finding the Fourth Proportional to 51,789.48, 77,642.04 and 16,232.54

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Solution

The fourth proportional to 51,789.48, 77,642.04 and 16,232.54 is: 24,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,789.48 : 77,642.04 = 16,232.54 : x
  2. Step 2: Convert to fraction form
    51,789.48/77,642.04 = 16,232.54/x
  3. Step 3: Cross multiply
    51,789.48x = 77,642.04 × 16,232.54
  4. Step 4: Simplify right side
    51,789.48x = 1,260,327,519.98
  5. Step 5: Solve for x
    x = 1,260,327,519.98/51,789.48
  6. Step 6: Final answer
    x = 24,335.59

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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.