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Finding the Fourth Proportional to 33,088.31, 49,641.74 and 13,380.71

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Solution

The fourth proportional to 33,088.31, 49,641.74 and 13,380.71 is: 20,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.31 : 49,641.74 = 13,380.71 : x
  2. Step 2: Convert to fraction form
    33,088.31/49,641.74 = 13,380.71/x
  3. Step 3: Cross multiply
    33,088.31x = 49,641.74 × 13,380.71
  4. Step 4: Simplify right side
    33,088.31x = 664,241,703.50
  5. Step 5: Solve for x
    x = 664,241,703.50/33,088.31
  6. Step 6: Final answer
    x = 20,074.81

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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.