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Finding the Fourth Proportional to 31,273.39, 46,910.18 and 7,580.84

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Solution

The fourth proportional to 31,273.39, 46,910.18 and 7,580.84 is: 11,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,273.39 : 46,910.18 = 7,580.84 : x
  2. Step 2: Convert to fraction form
    31,273.39/46,910.18 = 7,580.84/x
  3. Step 3: Cross multiply
    31,273.39x = 46,910.18 × 7,580.84
  4. Step 4: Simplify right side
    31,273.39x = 355,618,793.80
  5. Step 5: Solve for x
    x = 355,618,793.80/31,273.39
  6. Step 6: Final answer
    x = 11,371.29

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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.