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Finding the Fourth Proportional to 33,828.90, 50,750.84 and 10,135.50

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Solution

The fourth proportional to 33,828.90, 50,750.84 and 10,135.50 is: 15,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.90 : 50,750.84 = 10,135.50 : x
  2. Step 2: Convert to fraction form
    33,828.90/50,750.84 = 10,135.50/x
  3. Step 3: Cross multiply
    33,828.90x = 50,750.84 × 10,135.50
  4. Step 4: Simplify right side
    33,828.90x = 514,385,138.82
  5. Step 5: Solve for x
    x = 514,385,138.82/33,828.90
  6. Step 6: Final answer
    x = 15,205.49

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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.