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Finding the Fourth Proportional to 31,106.80, 42,915.13 and 19,149.36

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Solution

The fourth proportional to 31,106.80, 42,915.13 and 19,149.36 is: 26,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.80 : 42,915.13 = 19,149.36 : x
  2. Step 2: Convert to fraction form
    31,106.80/42,915.13 = 19,149.36/x
  3. Step 3: Cross multiply
    31,106.80x = 42,915.13 × 19,149.36
  4. Step 4: Simplify right side
    31,106.80x = 821,797,273.82
  5. Step 5: Solve for x
    x = 821,797,273.82/31,106.80
  6. Step 6: Final answer
    x = 26,418.57

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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.