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Finding the Fourth Proportional to 31,167.83, 46,757.91 and 11,446.56

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Solution

The fourth proportional to 31,167.83, 46,757.91 and 11,446.56 is: 17,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.83 : 46,757.91 = 11,446.56 : x
  2. Step 2: Convert to fraction form
    31,167.83/46,757.91 = 11,446.56/x
  3. Step 3: Cross multiply
    31,167.83x = 46,757.91 × 11,446.56
  4. Step 4: Simplify right side
    31,167.83x = 535,217,222.29
  5. Step 5: Solve for x
    x = 535,217,222.29/31,167.83
  6. Step 6: Final answer
    x = 17,172.10

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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.