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Finding the Fourth Proportional to 30,900.32, 42,628.09 and 18,149.43

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Solution

The fourth proportional to 30,900.32, 42,628.09 and 18,149.43 is: 25,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.32 : 42,628.09 = 18,149.43 : x
  2. Step 2: Convert to fraction form
    30,900.32/42,628.09 = 18,149.43/x
  3. Step 3: Cross multiply
    30,900.32x = 42,628.09 × 18,149.43
  4. Step 4: Simplify right side
    30,900.32x = 773,675,535.49
  5. Step 5: Solve for x
    x = 773,675,535.49/30,900.32
  6. Step 6: Final answer
    x = 25,037.78

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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.