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Finding the Fourth Proportional to 31,781.66, 43,840.46 and 19,824.23

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Solution

The fourth proportional to 31,781.66, 43,840.46 and 19,824.23 is: 27,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.66 : 43,840.46 = 19,824.23 : x
  2. Step 2: Convert to fraction form
    31,781.66/43,840.46 = 19,824.23/x
  3. Step 3: Cross multiply
    31,781.66x = 43,840.46 × 19,824.23
  4. Step 4: Simplify right side
    31,781.66x = 869,103,362.35
  5. Step 5: Solve for x
    x = 869,103,362.35/31,781.66
  6. Step 6: Final answer
    x = 27,346.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.