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Finding the Fourth Proportional to 31,693.15, 47,536.02 and 8,321.41

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Solution

The fourth proportional to 31,693.15, 47,536.02 and 8,321.41 is: 12,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.15 : 47,536.02 = 8,321.41 : x
  2. Step 2: Convert to fraction form
    31,693.15/47,536.02 = 8,321.41/x
  3. Step 3: Cross multiply
    31,693.15x = 47,536.02 × 8,321.41
  4. Step 4: Simplify right side
    31,693.15x = 395,566,712.19
  5. Step 5: Solve for x
    x = 395,566,712.19/31,693.15
  6. Step 6: Final answer
    x = 12,481.14

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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.