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Finding the Fourth Proportional to 31,615.53, 43,638.12 and 19,671.75

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Solution

The fourth proportional to 31,615.53, 43,638.12 and 19,671.75 is: 27,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.53 : 43,638.12 = 19,671.75 : x
  2. Step 2: Convert to fraction form
    31,615.53/43,638.12 = 19,671.75/x
  3. Step 3: Cross multiply
    31,615.53x = 43,638.12 × 19,671.75
  4. Step 4: Simplify right side
    31,615.53x = 858,438,187.11
  5. Step 5: Solve for x
    x = 858,438,187.11/31,615.53
  6. Step 6: Final answer
    x = 27,152.42

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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.