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Finding the Fourth Proportional to 31,068.39, 42,874.38 and 16,921.23

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Solution

The fourth proportional to 31,068.39, 42,874.38 and 16,921.23 is: 23,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,068.39 : 42,874.38 = 16,921.23 : x
  2. Step 2: Convert to fraction form
    31,068.39/42,874.38 = 16,921.23/x
  3. Step 3: Cross multiply
    31,068.39x = 42,874.38 × 16,921.23
  4. Step 4: Simplify right side
    31,068.39x = 725,487,245.09
  5. Step 5: Solve for x
    x = 725,487,245.09/31,068.39
  6. Step 6: Final answer
    x = 23,351.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.