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Finding the Fourth Proportional to 34,439.94, 51,648.90 and 13,378.50

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Solution

The fourth proportional to 34,439.94, 51,648.90 and 13,378.50 is: 20,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,439.94 : 51,648.90 = 13,378.50 : x
  2. Step 2: Convert to fraction form
    34,439.94/51,648.90 = 13,378.50/x
  3. Step 3: Cross multiply
    34,439.94x = 51,648.90 × 13,378.50
  4. Step 4: Simplify right side
    34,439.94x = 690,984,808.65
  5. Step 5: Solve for x
    x = 690,984,808.65/34,439.94
  6. Step 6: Final answer
    x = 20,063.47

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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.