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Finding the Fourth Proportional to 31,316.68, 43,216.86 and 16,976.46

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Solution

The fourth proportional to 31,316.68, 43,216.86 and 16,976.46 is: 23,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,316.68 : 43,216.86 = 16,976.46 : x
  2. Step 2: Convert to fraction form
    31,316.68/43,216.86 = 16,976.46/x
  3. Step 3: Cross multiply
    31,316.68x = 43,216.86 × 16,976.46
  4. Step 4: Simplify right side
    31,316.68x = 733,669,295.12
  5. Step 5: Solve for x
    x = 733,669,295.12/31,316.68
  6. Step 6: Final answer
    x = 23,427.43

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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.