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Finding the Fourth Proportional to 31,194.15, 43,047.84 and 17,047.10

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Solution

The fourth proportional to 31,194.15, 43,047.84 and 17,047.10 is: 23,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.15 : 43,047.84 = 17,047.10 : x
  2. Step 2: Convert to fraction form
    31,194.15/43,047.84 = 17,047.10/x
  3. Step 3: Cross multiply
    31,194.15x = 43,047.84 × 17,047.10
  4. Step 4: Simplify right side
    31,194.15x = 733,840,618.02
  5. Step 5: Solve for x
    x = 733,840,618.02/31,194.15
  6. Step 6: Final answer
    x = 23,524.94

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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.