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Finding the Fourth Proportional to 51,034.80, 76,552.20 and 13,594.80

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Solution

The fourth proportional to 51,034.80, 76,552.20 and 13,594.80 is: 20,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.80 : 76,552.20 = 13,594.80 : x
  2. Step 2: Convert to fraction form
    51,034.80/76,552.20 = 13,594.80/x
  3. Step 3: Cross multiply
    51,034.80x = 76,552.20 × 13,594.80
  4. Step 4: Simplify right side
    51,034.80x = 1,040,711,848.56
  5. Step 5: Solve for x
    x = 1,040,711,848.56/51,034.80
  6. Step 6: Final answer
    x = 20,392.20

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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.