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Finding the Fourth Proportional to 31,277.82, 43,164.09 and 17,848.81

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Solution

The fourth proportional to 31,277.82, 43,164.09 and 17,848.81 is: 24,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.82 : 43,164.09 = 17,848.81 : x
  2. Step 2: Convert to fraction form
    31,277.82/43,164.09 = 17,848.81/x
  3. Step 3: Cross multiply
    31,277.82x = 43,164.09 × 17,848.81
  4. Step 4: Simplify right side
    31,277.82x = 770,427,452.39
  5. Step 5: Solve for x
    x = 770,427,452.39/31,277.82
  6. Step 6: Final answer
    x = 24,631.75

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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.