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Finding the Fourth Proportional to 31,040.96, 42,851.04 and 19,869.44

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Solution

The fourth proportional to 31,040.96, 42,851.04 and 19,869.44 is: 27,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.96 : 42,851.04 = 19,869.44 : x
  2. Step 2: Convert to fraction form
    31,040.96/42,851.04 = 19,869.44/x
  3. Step 3: Cross multiply
    31,040.96x = 42,851.04 × 19,869.44
  4. Step 4: Simplify right side
    31,040.96x = 851,426,168.22
  5. Step 5: Solve for x
    x = 851,426,168.22/31,040.96
  6. Step 6: Final answer
    x = 27,429.12

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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.