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Finding the Fourth Proportional to 31,017, 42,816.78 and 20,959.32

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Solution

The fourth proportional to 31,017, 42,816.78 and 20,959.32 is: 28,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017 : 42,816.78 = 20,959.32 : x
  2. Step 2: Convert to fraction form
    31,017/42,816.78 = 20,959.32/x
  3. Step 3: Cross multiply
    31,017x = 42,816.78 × 20,959.32
  4. Step 4: Simplify right side
    31,017x = 897,410,593.39
  5. Step 5: Solve for x
    x = 897,410,593.39/31,017
  6. Step 6: Final answer
    x = 28,932.86

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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.