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Finding the Fourth Proportional to 34,229.70, 51,352.44 and 14,509.02

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Solution

The fourth proportional to 34,229.70, 51,352.44 and 14,509.02 is: 21,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,229.70 : 51,352.44 = 14,509.02 : x
  2. Step 2: Convert to fraction form
    34,229.70/51,352.44 = 14,509.02/x
  3. Step 3: Cross multiply
    34,229.70x = 51,352.44 × 14,509.02
  4. Step 4: Simplify right side
    34,229.70x = 745,073,579.01
  5. Step 5: Solve for x
    x = 745,073,579.01/34,229.70
  6. Step 6: Final answer
    x = 21,766.87

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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.