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Finding the Fourth Proportional to 51,302.40, 76,964.40 and 16,245.60

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Solution

The fourth proportional to 51,302.40, 76,964.40 and 16,245.60 is: 24,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.40 : 76,964.40 = 16,245.60 : x
  2. Step 2: Convert to fraction form
    51,302.40/76,964.40 = 16,245.60/x
  3. Step 3: Cross multiply
    51,302.40x = 76,964.40 × 16,245.60
  4. Step 4: Simplify right side
    51,302.40x = 1,250,332,856.64
  5. Step 5: Solve for x
    x = 1,250,332,856.64/51,302.40
  6. Step 6: Final answer
    x = 24,371.82

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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.