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Finding the Fourth Proportional to 33,567.71, 50,351.56 and 15,984.23

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Solution

The fourth proportional to 33,567.71, 50,351.56 and 15,984.23 is: 23,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,567.71 : 50,351.56 = 15,984.23 : x
  2. Step 2: Convert to fraction form
    33,567.71/50,351.56 = 15,984.23/x
  3. Step 3: Cross multiply
    33,567.71x = 50,351.56 × 15,984.23
  4. Step 4: Simplify right side
    33,567.71x = 804,830,624.18
  5. Step 5: Solve for x
    x = 804,830,624.18/33,567.71
  6. Step 6: Final answer
    x = 23,976.34

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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.