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Finding the Fourth Proportional to 32,744.25, 49,120.49 and 12,754.19

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Solution

The fourth proportional to 32,744.25, 49,120.49 and 12,754.19 is: 19,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.25 : 49,120.49 = 12,754.19 : x
  2. Step 2: Convert to fraction form
    32,744.25/49,120.49 = 12,754.19/x
  3. Step 3: Cross multiply
    32,744.25x = 49,120.49 × 12,754.19
  4. Step 4: Simplify right side
    32,744.25x = 626,492,217.04
  5. Step 5: Solve for x
    x = 626,492,217.04/32,744.25
  6. Step 6: Final answer
    x = 19,132.89

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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.