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Finding the Fourth Proportional to 34,616.25, 47,770.65 and 20,284.56

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Solution

The fourth proportional to 34,616.25, 47,770.65 and 20,284.56 is: 27,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.25 : 47,770.65 = 20,284.56 : x
  2. Step 2: Convert to fraction form
    34,616.25/47,770.65 = 20,284.56/x
  3. Step 3: Cross multiply
    34,616.25x = 47,770.65 × 20,284.56
  4. Step 4: Simplify right side
    34,616.25x = 969,006,616.16
  5. Step 5: Solve for x
    x = 969,006,616.16/34,616.25
  6. Step 6: Final answer
    x = 27,992.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.