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Finding the Fourth Proportional to 32,977.01, 49,465.07 and 8,016.99

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Solution

The fourth proportional to 32,977.01, 49,465.07 and 8,016.99 is: 12,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.01 : 49,465.07 = 8,016.99 : x
  2. Step 2: Convert to fraction form
    32,977.01/49,465.07 = 8,016.99/x
  3. Step 3: Cross multiply
    32,977.01x = 49,465.07 × 8,016.99
  4. Step 4: Simplify right side
    32,977.01x = 396,560,991.58
  5. Step 5: Solve for x
    x = 396,560,991.58/32,977.01
  6. Step 6: Final answer
    x = 12,025.38

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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.