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Finding the Fourth Proportional to 32,990.65, 49,485.27 and 8,030.83

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Solution

The fourth proportional to 32,990.65, 49,485.27 and 8,030.83 is: 12,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.65 : 49,485.27 = 8,030.83 : x
  2. Step 2: Convert to fraction form
    32,990.65/49,485.27 = 8,030.83/x
  3. Step 3: Cross multiply
    32,990.65x = 49,485.27 × 8,030.83
  4. Step 4: Simplify right side
    32,990.65x = 397,407,790.87
  5. Step 5: Solve for x
    x = 397,407,790.87/32,990.65
  6. Step 6: Final answer
    x = 12,046.07

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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.