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Finding the Fourth Proportional to 31,231.78, 46,855.16 and 9,046.69

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Solution

The fourth proportional to 31,231.78, 46,855.16 and 9,046.69 is: 13,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.78 : 46,855.16 = 9,046.69 : x
  2. Step 2: Convert to fraction form
    31,231.78/46,855.16 = 9,046.69/x
  3. Step 3: Cross multiply
    31,231.78x = 46,855.16 × 9,046.69
  4. Step 4: Simplify right side
    31,231.78x = 423,884,107.42
  5. Step 5: Solve for x
    x = 423,884,107.42/31,231.78
  6. Step 6: Final answer
    x = 13,572.20

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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.