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Finding the Fourth Proportional to 33,017.64, 49,525.62 and 8,057.76

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Solution

The fourth proportional to 33,017.64, 49,525.62 and 8,057.76 is: 12,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,017.64 : 49,525.62 = 8,057.76 : x
  2. Step 2: Convert to fraction form
    33,017.64/49,525.62 = 8,057.76/x
  3. Step 3: Cross multiply
    33,017.64x = 49,525.62 × 8,057.76
  4. Step 4: Simplify right side
    33,017.64x = 399,065,559.81
  5. Step 5: Solve for x
    x = 399,065,559.81/33,017.64
  6. Step 6: Final answer
    x = 12,086.44

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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.