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Finding the Fourth Proportional to 33,648, 50,478.48 and 15,180

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Solution

The fourth proportional to 33,648, 50,478.48 and 15,180 is: 22,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648 : 50,478.48 = 15,180 : x
  2. Step 2: Convert to fraction form
    33,648/50,478.48 = 15,180/x
  3. Step 3: Cross multiply
    33,648x = 50,478.48 × 15,180
  4. Step 4: Simplify right side
    33,648x = 766,263,326.40
  5. Step 5: Solve for x
    x = 766,263,326.40/33,648
  6. Step 6: Final answer
    x = 22,772.92

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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.