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Finding the Fourth Proportional to 31,003.80, 42,784.74 and 16,857

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Solution

The fourth proportional to 31,003.80, 42,784.74 and 16,857 is: 23,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003.80 : 42,784.74 = 16,857 : x
  2. Step 2: Convert to fraction form
    31,003.80/42,784.74 = 16,857/x
  3. Step 3: Cross multiply
    31,003.80x = 42,784.74 × 16,857
  4. Step 4: Simplify right side
    31,003.80x = 721,222,362.18
  5. Step 5: Solve for x
    x = 721,222,362.18/31,003.80
  6. Step 6: Final answer
    x = 23,262.39

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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.