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Finding the Fourth Proportional to 33,854.48, 50,780.92 and 14,132.64

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Solution

The fourth proportional to 33,854.48, 50,780.92 and 14,132.64 is: 21,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,854.48 : 50,780.92 = 14,132.64 : x
  2. Step 2: Convert to fraction form
    33,854.48/50,780.92 = 14,132.64/x
  3. Step 3: Cross multiply
    33,854.48x = 50,780.92 × 14,132.64
  4. Step 4: Simplify right side
    33,854.48x = 717,668,461.23
  5. Step 5: Solve for x
    x = 717,668,461.23/33,854.48
  6. Step 6: Final answer
    x = 21,198.63

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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.