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Finding the Fourth Proportional to 30,938, 42,694.20 and 16,790.88

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Solution

The fourth proportional to 30,938, 42,694.20 and 16,790.88 is: 23,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938 : 42,694.20 = 16,790.88 : x
  2. Step 2: Convert to fraction form
    30,938/42,694.20 = 16,790.88/x
  3. Step 3: Cross multiply
    30,938x = 42,694.20 × 16,790.88
  4. Step 4: Simplify right side
    30,938x = 716,873,188.90
  5. Step 5: Solve for x
    x = 716,873,188.90/30,938
  6. Step 6: Final answer
    x = 23,171.28

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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.