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Finding the Fourth Proportional to 31,105.89, 46,658.81 and 7,732.33

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Solution

The fourth proportional to 31,105.89, 46,658.81 and 7,732.33 is: 11,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.89 : 46,658.81 = 7,732.33 : x
  2. Step 2: Convert to fraction form
    31,105.89/46,658.81 = 7,732.33/x
  3. Step 3: Cross multiply
    31,105.89x = 46,658.81 × 7,732.33
  4. Step 4: Simplify right side
    31,105.89x = 360,781,219.01
  5. Step 5: Solve for x
    x = 360,781,219.01/31,105.89
  6. Step 6: Final answer
    x = 11,598.49

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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.