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Finding the Fourth Proportional to 31,486.96, 43,378.08 and 21,910.40

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Solution

The fourth proportional to 31,486.96, 43,378.08 and 21,910.40 is: 30,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.96 : 43,378.08 = 21,910.40 : x
  2. Step 2: Convert to fraction form
    31,486.96/43,378.08 = 21,910.40/x
  3. Step 3: Cross multiply
    31,486.96x = 43,378.08 × 21,910.40
  4. Step 4: Simplify right side
    31,486.96x = 950,431,084.03
  5. Step 5: Solve for x
    x = 950,431,084.03/31,486.96
  6. Step 6: Final answer
    x = 30,184.91

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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.