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Finding the Fourth Proportional to 38,425.95, 57,634.07 and 12,133.35

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Solution

The fourth proportional to 38,425.95, 57,634.07 and 12,133.35 is: 18,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.95 : 57,634.07 = 12,133.35 : x
  2. Step 2: Convert to fraction form
    38,425.95/57,634.07 = 12,133.35/x
  3. Step 3: Cross multiply
    38,425.95x = 57,634.07 × 12,133.35
  4. Step 4: Simplify right side
    38,425.95x = 699,294,282.57
  5. Step 5: Solve for x
    x = 699,294,282.57/38,425.95
  6. Step 6: Final answer
    x = 18,198.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.