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Finding the Fourth Proportional to 33,114.03, 49,671.15 and 8,154.66

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Solution

The fourth proportional to 33,114.03, 49,671.15 and 8,154.66 is: 12,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.03 : 49,671.15 = 8,154.66 : x
  2. Step 2: Convert to fraction form
    33,114.03/49,671.15 = 8,154.66/x
  3. Step 3: Cross multiply
    33,114.03x = 49,671.15 × 8,154.66
  4. Step 4: Simplify right side
    33,114.03x = 405,051,340.06
  5. Step 5: Solve for x
    x = 405,051,340.06/33,114.03
  6. Step 6: Final answer
    x = 12,232.02

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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.