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Finding the Fourth Proportional to 32,994.90, 49,491.90 and 8,034.75

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Solution

The fourth proportional to 32,994.90, 49,491.90 and 8,034.75 is: 12,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.90 : 49,491.90 = 8,034.75 : x
  2. Step 2: Convert to fraction form
    32,994.90/49,491.90 = 8,034.75/x
  3. Step 3: Cross multiply
    32,994.90x = 49,491.90 × 8,034.75
  4. Step 4: Simplify right side
    32,994.90x = 397,655,043.53
  5. Step 5: Solve for x
    x = 397,655,043.53/32,994.90
  6. Step 6: Final answer
    x = 12,052.02

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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.