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Finding the Fourth Proportional to 33,824.58, 50,734.71 and 11,648.58

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Solution

The fourth proportional to 33,824.58, 50,734.71 and 11,648.58 is: 17,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.58 : 50,734.71 = 11,648.58 : x
  2. Step 2: Convert to fraction form
    33,824.58/50,734.71 = 11,648.58/x
  3. Step 3: Cross multiply
    33,824.58x = 50,734.71 × 11,648.58
  4. Step 4: Simplify right side
    33,824.58x = 590,987,328.21
  5. Step 5: Solve for x
    x = 590,987,328.21/33,824.58
  6. Step 6: Final answer
    x = 17,472.13

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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.