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Finding the Fourth Proportional to 31,885.79, 43,817.69 and 30,422.31

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Solution

The fourth proportional to 31,885.79, 43,817.69 and 30,422.31 is: 41,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.79 : 43,817.69 = 30,422.31 : x
  2. Step 2: Convert to fraction form
    31,885.79/43,817.69 = 30,422.31/x
  3. Step 3: Cross multiply
    31,885.79x = 43,817.69 × 30,422.31
  4. Step 4: Simplify right side
    31,885.79x = 1,333,035,196.55
  5. Step 5: Solve for x
    x = 1,333,035,196.55/31,885.79
  6. Step 6: Final answer
    x = 41,806.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.