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Finding the Fourth Proportional to 31,198.80, 46,793.25 and 10,139.34

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Solution

The fourth proportional to 31,198.80, 46,793.25 and 10,139.34 is: 15,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.80 : 46,793.25 = 10,139.34 : x
  2. Step 2: Convert to fraction form
    31,198.80/46,793.25 = 10,139.34/x
  3. Step 3: Cross multiply
    31,198.80x = 46,793.25 × 10,139.34
  4. Step 4: Simplify right side
    31,198.80x = 474,452,671.46
  5. Step 5: Solve for x
    x = 474,452,671.46/31,198.80
  6. Step 6: Final answer
    x = 15,207.40

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