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Finding the Fourth Proportional to 34,246.80, 51,377.49 and 14,534.64

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Solution

The fourth proportional to 34,246.80, 51,377.49 and 14,534.64 is: 21,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,246.80 : 51,377.49 = 14,534.64 : x
  2. Step 2: Convert to fraction form
    34,246.80/51,377.49 = 14,534.64/x
  3. Step 3: Cross multiply
    34,246.80x = 51,377.49 × 14,534.64
  4. Step 4: Simplify right side
    34,246.80x = 746,753,321.25
  5. Step 5: Solve for x
    x = 746,753,321.25/34,246.80
  6. Step 6: Final answer
    x = 21,805.05

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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.