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Finding the Fourth Proportional to 33,511.85, 50,248.55 and 13,774.13

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Solution

The fourth proportional to 33,511.85, 50,248.55 and 13,774.13 is: 20,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,511.85 : 50,248.55 = 13,774.13 : x
  2. Step 2: Convert to fraction form
    33,511.85/50,248.55 = 13,774.13/x
  3. Step 3: Cross multiply
    33,511.85x = 50,248.55 × 13,774.13
  4. Step 4: Simplify right side
    33,511.85x = 692,129,843.20
  5. Step 5: Solve for x
    x = 692,129,843.20/33,511.85
  6. Step 6: Final answer
    x = 20,653.29

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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.