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Finding the Fourth Proportional to 34,770.50, 52,198.32 and 22,934.17

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Solution

The fourth proportional to 34,770.50, 52,198.32 and 22,934.17 is: 34,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.50 : 52,198.32 = 22,934.17 : x
  2. Step 2: Convert to fraction form
    34,770.50/52,198.32 = 22,934.17/x
  3. Step 3: Cross multiply
    34,770.50x = 52,198.32 × 22,934.17
  4. Step 4: Simplify right side
    34,770.50x = 1,197,125,014.10
  5. Step 5: Solve for x
    x = 1,197,125,014.10/34,770.50
  6. Step 6: Final answer
    x = 34,429.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.