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Finding the Fourth Proportional to 31,092.29, 42,914.29 and 19,759.58

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Solution

The fourth proportional to 31,092.29, 42,914.29 and 19,759.58 is: 27,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.29 : 42,914.29 = 19,759.58 : x
  2. Step 2: Convert to fraction form
    31,092.29/42,914.29 = 19,759.58/x
  3. Step 3: Cross multiply
    31,092.29x = 42,914.29 × 19,759.58
  4. Step 4: Simplify right side
    31,092.29x = 847,968,280.41
  5. Step 5: Solve for x
    x = 847,968,280.41/31,092.29
  6. Step 6: Final answer
    x = 27,272.62

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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.