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Finding the Fourth Proportional to 33,567.90, 50,348.40 and 11,380.68

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Solution

The fourth proportional to 33,567.90, 50,348.40 and 11,380.68 is: 17,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,567.90 : 50,348.40 = 11,380.68 : x
  2. Step 2: Convert to fraction form
    33,567.90/50,348.40 = 11,380.68/x
  3. Step 3: Cross multiply
    33,567.90x = 50,348.40 × 11,380.68
  4. Step 4: Simplify right side
    33,567.90x = 572,999,028.91
  5. Step 5: Solve for x
    x = 572,999,028.91/33,567.90
  6. Step 6: Final answer
    x = 17,069.85

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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.