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Finding the Fourth Proportional to 32,781.29, 49,164.65 and 12,791.31

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Solution

The fourth proportional to 32,781.29, 49,164.65 and 12,791.31 is: 19,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.29 : 49,164.65 = 12,791.31 : x
  2. Step 2: Convert to fraction form
    32,781.29/49,164.65 = 12,791.31/x
  3. Step 3: Cross multiply
    32,781.29x = 49,164.65 × 12,791.31
  4. Step 4: Simplify right side
    32,781.29x = 628,880,215.23
  5. Step 5: Solve for x
    x = 628,880,215.23/32,781.29
  6. Step 6: Final answer
    x = 19,184.12

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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.