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Finding the Fourth Proportional to 51,125.80, 76,691.30 and 16,065.80

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Solution

The fourth proportional to 51,125.80, 76,691.30 and 16,065.80 is: 24,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,125.80 : 76,691.30 = 16,065.80 : x
  2. Step 2: Convert to fraction form
    51,125.80/76,691.30 = 16,065.80/x
  3. Step 3: Cross multiply
    51,125.80x = 76,691.30 × 16,065.80
  4. Step 4: Simplify right side
    51,125.80x = 1,232,107,087.54
  5. Step 5: Solve for x
    x = 1,232,107,087.54/51,125.80
  6. Step 6: Final answer
    x = 24,099.52

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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.