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Finding the Fourth Proportional to 45,770.52, 68,662.80 and 19,468.20

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Solution

The fourth proportional to 45,770.52, 68,662.80 and 19,468.20 is: 29,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770.52 : 68,662.80 = 19,468.20 : x
  2. Step 2: Convert to fraction form
    45,770.52/68,662.80 = 19,468.20/x
  3. Step 3: Cross multiply
    45,770.52x = 68,662.80 × 19,468.20
  4. Step 4: Simplify right side
    45,770.52x = 1,336,741,122.96
  5. Step 5: Solve for x
    x = 1,336,741,122.96/45,770.52
  6. Step 6: Final answer
    x = 29,205.29

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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.