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Finding the Fourth Proportional to 33,598.90, 50,359.87 and 13,853.12

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Solution

The fourth proportional to 33,598.90, 50,359.87 and 13,853.12 is: 20,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.90 : 50,359.87 = 13,853.12 : x
  2. Step 2: Convert to fraction form
    33,598.90/50,359.87 = 13,853.12/x
  3. Step 3: Cross multiply
    33,598.90x = 50,359.87 × 13,853.12
  4. Step 4: Simplify right side
    33,598.90x = 697,641,253.03
  5. Step 5: Solve for x
    x = 697,641,253.03/33,598.90
  6. Step 6: Final answer
    x = 20,763.82

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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.