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Finding the Fourth Proportional to 38,194.24, 52,699.90 and 23,083.90

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Solution

The fourth proportional to 38,194.24, 52,699.90 and 23,083.90 is: 31,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,194.24 : 52,699.90 = 23,083.90 : x
  2. Step 2: Convert to fraction form
    38,194.24/52,699.90 = 23,083.90/x
  3. Step 3: Cross multiply
    38,194.24x = 52,699.90 × 23,083.90
  4. Step 4: Simplify right side
    38,194.24x = 1,216,519,221.61
  5. Step 5: Solve for x
    x = 1,216,519,221.61/38,194.24
  6. Step 6: Final answer
    x = 31,850.86

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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.