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Finding the Fourth Proportional to 32,766.86, 49,161.18 and 13,040.12

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Solution

The fourth proportional to 32,766.86, 49,161.18 and 13,040.12 is: 19,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766.86 : 49,161.18 = 13,040.12 : x
  2. Step 2: Convert to fraction form
    32,766.86/49,161.18 = 13,040.12/x
  3. Step 3: Cross multiply
    32,766.86x = 49,161.18 × 13,040.12
  4. Step 4: Simplify right side
    32,766.86x = 641,067,686.54
  5. Step 5: Solve for x
    x = 641,067,686.54/32,766.86
  6. Step 6: Final answer
    x = 19,564.51

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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.