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Finding the Fourth Proportional to 33,900.40, 50,830 and 15,176.96

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Solution

The fourth proportional to 33,900.40, 50,830 and 15,176.96 is: 22,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900.40 : 50,830 = 15,176.96 : x
  2. Step 2: Convert to fraction form
    33,900.40/50,830 = 15,176.96/x
  3. Step 3: Cross multiply
    33,900.40x = 50,830 × 15,176.96
  4. Step 4: Simplify right side
    33,900.40x = 771,444,876.80
  5. Step 5: Solve for x
    x = 771,444,876.80/33,900.40
  6. Step 6: Final answer
    x = 22,756.22

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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.