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Finding the Fourth Proportional to 33,184.31, 49,747.84 and 15,641.87

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Solution

The fourth proportional to 33,184.31, 49,747.84 and 15,641.87 is: 23,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.31 : 49,747.84 = 15,641.87 : x
  2. Step 2: Convert to fraction form
    33,184.31/49,747.84 = 15,641.87/x
  3. Step 3: Cross multiply
    33,184.31x = 49,747.84 × 15,641.87
  4. Step 4: Simplify right side
    33,184.31x = 778,148,958.22
  5. Step 5: Solve for x
    x = 778,148,958.22/33,184.31
  6. Step 6: Final answer
    x = 23,449.31

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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.