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Finding the Fourth Proportional to 51,323.68, 76,992 and 16,250.80

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Solution

The fourth proportional to 51,323.68, 76,992 and 16,250.80 is: 24,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,323.68 : 76,992 = 16,250.80 : x
  2. Step 2: Convert to fraction form
    51,323.68/76,992 = 16,250.80/x
  3. Step 3: Cross multiply
    51,323.68x = 76,992 × 16,250.80
  4. Step 4: Simplify right side
    51,323.68x = 1,251,181,593.60
  5. Step 5: Solve for x
    x = 1,251,181,593.60/51,323.68
  6. Step 6: Final answer
    x = 24,378.25

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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.