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Finding the Fourth Proportional to 33,722.81, 50,544.83 and 25,376

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Solution

The fourth proportional to 33,722.81, 50,544.83 and 25,376 is: 38,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,722.81 : 50,544.83 = 25,376 : x
  2. Step 2: Convert to fraction form
    33,722.81/50,544.83 = 25,376/x
  3. Step 3: Cross multiply
    33,722.81x = 50,544.83 × 25,376
  4. Step 4: Simplify right side
    33,722.81x = 1,282,625,479.20
  5. Step 5: Solve for x
    x = 1,282,625,479.20/33,722.81
  6. Step 6: Final answer
    x = 38,034.36

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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.