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Finding the Fourth Proportional to 31,856.68, 47,806.62 and 11,080.12

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Solution

The fourth proportional to 31,856.68, 47,806.62 and 11,080.12 is: 16,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.68 : 47,806.62 = 11,080.12 : x
  2. Step 2: Convert to fraction form
    31,856.68/47,806.62 = 11,080.12/x
  3. Step 3: Cross multiply
    31,856.68x = 47,806.62 × 11,080.12
  4. Step 4: Simplify right side
    31,856.68x = 529,703,086.39
  5. Step 5: Solve for x
    x = 529,703,086.39/31,856.68
  6. Step 6: Final answer
    x = 16,627.69

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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.