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Finding the Fourth Proportional to 33,086.48, 49,671.84 and 21,448.40

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Solution

The fourth proportional to 33,086.48, 49,671.84 and 21,448.40 is: 32,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.48 : 49,671.84 = 21,448.40 : x
  2. Step 2: Convert to fraction form
    33,086.48/49,671.84 = 21,448.40/x
  3. Step 3: Cross multiply
    33,086.48x = 49,671.84 × 21,448.40
  4. Step 4: Simplify right side
    33,086.48x = 1,065,381,493.06
  5. Step 5: Solve for x
    x = 1,065,381,493.06/33,086.48
  6. Step 6: Final answer
    x = 32,199.90

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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.