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Finding the Fourth Proportional to 33,841.96, 50,766.34 and 11,652.40

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Solution

The fourth proportional to 33,841.96, 50,766.34 and 11,652.40 is: 17,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.96 : 50,766.34 = 11,652.40 : x
  2. Step 2: Convert to fraction form
    33,841.96/50,766.34 = 11,652.40/x
  3. Step 3: Cross multiply
    33,841.96x = 50,766.34 × 11,652.40
  4. Step 4: Simplify right side
    33,841.96x = 591,549,700.22
  5. Step 5: Solve for x
    x = 591,549,700.22/33,841.96
  6. Step 6: Final answer
    x = 17,479.77

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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.