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Finding the Fourth Proportional to 31,460.39, 47,191.19 and 8,086.22

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Solution

The fourth proportional to 31,460.39, 47,191.19 and 8,086.22 is: 12,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.39 : 47,191.19 = 8,086.22 : x
  2. Step 2: Convert to fraction form
    31,460.39/47,191.19 = 8,086.22/x
  3. Step 3: Cross multiply
    31,460.39x = 47,191.19 × 8,086.22
  4. Step 4: Simplify right side
    31,460.39x = 381,598,068.01
  5. Step 5: Solve for x
    x = 381,598,068.01/31,460.39
  6. Step 6: Final answer
    x = 12,129.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.