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Finding the Fourth Proportional to 20,043.75, 30,077.63 and 8,033.78

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Solution

The fourth proportional to 20,043.75, 30,077.63 and 8,033.78 is: 12,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.75 : 30,077.63 = 8,033.78 : x
  2. Step 2: Convert to fraction form
    20,043.75/30,077.63 = 8,033.78/x
  3. Step 3: Cross multiply
    20,043.75x = 30,077.63 × 8,033.78
  4. Step 4: Simplify right side
    20,043.75x = 241,637,127.49
  5. Step 5: Solve for x
    x = 241,637,127.49/20,043.75
  6. Step 6: Final answer
    x = 12,055.48

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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.