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Finding the Fourth Proportional to 33,505.20, 50,255.36 and 13,516

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Solution

The fourth proportional to 33,505.20, 50,255.36 and 13,516 is: 20,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,505.20 : 50,255.36 = 13,516 : x
  2. Step 2: Convert to fraction form
    33,505.20/50,255.36 = 13,516/x
  3. Step 3: Cross multiply
    33,505.20x = 50,255.36 × 13,516
  4. Step 4: Simplify right side
    33,505.20x = 679,251,445.76
  5. Step 5: Solve for x
    x = 679,251,445.76/33,505.20
  6. Step 6: Final answer
    x = 20,273.02

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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.