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Finding the Fourth Proportional to 48,057.60, 71,969.52 and 33,224.64

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Solution

The fourth proportional to 48,057.60, 71,969.52 and 33,224.64 is: 49,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,057.60 : 71,969.52 = 33,224.64 : x
  2. Step 2: Convert to fraction form
    48,057.60/71,969.52 = 33,224.64/x
  3. Step 3: Cross multiply
    48,057.60x = 71,969.52 × 33,224.64
  4. Step 4: Simplify right side
    48,057.60x = 2,391,161,392.97
  5. Step 5: Solve for x
    x = 2,391,161,392.97/48,057.60
  6. Step 6: Final answer
    x = 49,756.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.