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Finding the Fourth Proportional to 33,354.96, 50,071.86 and 13,648.20

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Solution

The fourth proportional to 33,354.96, 50,071.86 and 13,648.20 is: 20,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,354.96 : 50,071.86 = 13,648.20 : x
  2. Step 2: Convert to fraction form
    33,354.96/50,071.86 = 13,648.20/x
  3. Step 3: Cross multiply
    33,354.96x = 50,071.86 × 13,648.20
  4. Step 4: Simplify right side
    33,354.96x = 683,390,759.65
  5. Step 5: Solve for x
    x = 683,390,759.65/33,354.96
  6. Step 6: Final answer
    x = 20,488.43

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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.