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Finding the Fourth Proportional to 33,122.40, 49,568.78 and 31,744.59

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Solution

The fourth proportional to 33,122.40, 49,568.78 and 31,744.59 is: 47,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.40 : 49,568.78 = 31,744.59 : x
  2. Step 2: Convert to fraction form
    33,122.40/49,568.78 = 31,744.59/x
  3. Step 3: Cross multiply
    33,122.40x = 49,568.78 × 31,744.59
  4. Step 4: Simplify right side
    33,122.40x = 1,573,540,312.82
  5. Step 5: Solve for x
    x = 1,573,540,312.82/33,122.40
  6. Step 6: Final answer
    x = 47,506.84

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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.