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Finding the Fourth Proportional to 38,310.84, 52,866 and 22,393.80

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Solution

The fourth proportional to 38,310.84, 52,866 and 22,393.80 is: 30,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310.84 : 52,866 = 22,393.80 : x
  2. Step 2: Convert to fraction form
    38,310.84/52,866 = 22,393.80/x
  3. Step 3: Cross multiply
    38,310.84x = 52,866 × 22,393.80
  4. Step 4: Simplify right side
    38,310.84x = 1,183,870,630.80
  5. Step 5: Solve for x
    x = 1,183,870,630.80/38,310.84
  6. Step 6: Final answer
    x = 30,901.71

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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.