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Finding the Fourth Proportional to 33,161.38, 49,742.06 and 9,787.20

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Solution

The fourth proportional to 33,161.38, 49,742.06 and 9,787.20 is: 14,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.38 : 49,742.06 = 9,787.20 : x
  2. Step 2: Convert to fraction form
    33,161.38/49,742.06 = 9,787.20/x
  3. Step 3: Cross multiply
    33,161.38x = 49,742.06 × 9,787.20
  4. Step 4: Simplify right side
    33,161.38x = 486,835,489.63
  5. Step 5: Solve for x
    x = 486,835,489.63/33,161.38
  6. Step 6: Final answer
    x = 14,680.80

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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.