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Finding the Fourth Proportional to 34,187.80, 51,288.90 and 14,456.20

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Solution

The fourth proportional to 34,187.80, 51,288.90 and 14,456.20 is: 21,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187.80 : 51,288.90 = 14,456.20 : x
  2. Step 2: Convert to fraction form
    34,187.80/51,288.90 = 14,456.20/x
  3. Step 3: Cross multiply
    34,187.80x = 51,288.90 × 14,456.20
  4. Step 4: Simplify right side
    34,187.80x = 741,442,596.18
  5. Step 5: Solve for x
    x = 741,442,596.18/34,187.80
  6. Step 6: Final answer
    x = 21,687.34

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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.