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Finding the Fourth Proportional to 51,909.56, 77,815.08 and 16,824.56

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Solution

The fourth proportional to 51,909.56, 77,815.08 and 16,824.56 is: 25,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.56 : 77,815.08 = 16,824.56 : x
  2. Step 2: Convert to fraction form
    51,909.56/77,815.08 = 16,824.56/x
  3. Step 3: Cross multiply
    51,909.56x = 77,815.08 × 16,824.56
  4. Step 4: Simplify right side
    51,909.56x = 1,309,204,482.36
  5. Step 5: Solve for x
    x = 1,309,204,482.36/51,909.56
  6. Step 6: Final answer
    x = 25,220.87

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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.