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Finding the Fourth Proportional to 33,023.85, 49,534.04 and 10,834.31

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Solution

The fourth proportional to 33,023.85, 49,534.04 and 10,834.31 is: 16,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,023.85 : 49,534.04 = 10,834.31 : x
  2. Step 2: Convert to fraction form
    33,023.85/49,534.04 = 10,834.31/x
  3. Step 3: Cross multiply
    33,023.85x = 49,534.04 × 10,834.31
  4. Step 4: Simplify right side
    33,023.85x = 536,666,843.07
  5. Step 5: Solve for x
    x = 536,666,843.07/33,023.85
  6. Step 6: Final answer
    x = 16,250.89

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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.