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Finding the Fourth Proportional to 33,154.92, 49,715.10 and 12,361.32

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Solution

The fourth proportional to 33,154.92, 49,715.10 and 12,361.32 is: 18,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.92 : 49,715.10 = 12,361.32 : x
  2. Step 2: Convert to fraction form
    33,154.92/49,715.10 = 12,361.32/x
  3. Step 3: Cross multiply
    33,154.92x = 49,715.10 × 12,361.32
  4. Step 4: Simplify right side
    33,154.92x = 614,544,259.93
  5. Step 5: Solve for x
    x = 614,544,259.93/33,154.92
  6. Step 6: Final answer
    x = 18,535.54

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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.