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Finding the Fourth Proportional to 31,092.01, 42,913.90 and 19,759.30

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Solution

The fourth proportional to 31,092.01, 42,913.90 and 19,759.30 is: 27,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.01 : 42,913.90 = 19,759.30 : x
  2. Step 2: Convert to fraction form
    31,092.01/42,913.90 = 19,759.30/x
  3. Step 3: Cross multiply
    31,092.01x = 42,913.90 × 19,759.30
  4. Step 4: Simplify right side
    31,092.01x = 847,948,541.68
  5. Step 5: Solve for x
    x = 847,948,541.68/31,092.01
  6. Step 6: Final answer
    x = 27,272.23

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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.