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Finding the Fourth Proportional to 32,772.71, 49,162.26 and 13,046.66

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Solution

The fourth proportional to 32,772.71, 49,162.26 and 13,046.66 is: 19,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.71 : 49,162.26 = 13,046.66 : x
  2. Step 2: Convert to fraction form
    32,772.71/49,162.26 = 13,046.66/x
  3. Step 3: Cross multiply
    32,772.71x = 49,162.26 × 13,046.66
  4. Step 4: Simplify right side
    32,772.71x = 641,403,291.05
  5. Step 5: Solve for x
    x = 641,403,291.05/32,772.71
  6. Step 6: Final answer
    x = 19,571.26

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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.