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Finding the Fourth Proportional to 31,206.72, 43,086.05 and 18,464

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Solution

The fourth proportional to 31,206.72, 43,086.05 and 18,464 is: 25,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.72 : 43,086.05 = 18,464 : x
  2. Step 2: Convert to fraction form
    31,206.72/43,086.05 = 18,464/x
  3. Step 3: Cross multiply
    31,206.72x = 43,086.05 × 18,464
  4. Step 4: Simplify right side
    31,206.72x = 795,540,827.20
  5. Step 5: Solve for x
    x = 795,540,827.20/31,206.72
  6. Step 6: Final answer
    x = 25,492.61

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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.