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Finding the Fourth Proportional to 33,722.12, 50,578.22 and 13,458.76

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Solution

The fourth proportional to 33,722.12, 50,578.22 and 13,458.76 is: 20,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,722.12 : 50,578.22 = 13,458.76 : x
  2. Step 2: Convert to fraction form
    33,722.12/50,578.22 = 13,458.76/x
  3. Step 3: Cross multiply
    33,722.12x = 50,578.22 × 13,458.76
  4. Step 4: Simplify right side
    33,722.12x = 680,720,031.41
  5. Step 5: Solve for x
    x = 680,720,031.41/33,722.12
  6. Step 6: Final answer
    x = 20,186.16

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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.