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Finding the Fourth Proportional to 33,688.90, 50,470.17 and 28,177.66

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Solution

The fourth proportional to 33,688.90, 50,470.17 and 28,177.66 is: 42,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,688.90 : 50,470.17 = 28,177.66 : x
  2. Step 2: Convert to fraction form
    33,688.90/50,470.17 = 28,177.66/x
  3. Step 3: Cross multiply
    33,688.90x = 50,470.17 × 28,177.66
  4. Step 4: Simplify right side
    33,688.90x = 1,422,131,290.40
  5. Step 5: Solve for x
    x = 1,422,131,290.40/33,688.90
  6. Step 6: Final answer
    x = 42,213.65

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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.