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Finding the Fourth Proportional to 31,194.67, 46,790.64 and 9,008.97

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Solution

The fourth proportional to 31,194.67, 46,790.64 and 9,008.97 is: 13,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.67 : 46,790.64 = 9,008.97 : x
  2. Step 2: Convert to fraction form
    31,194.67/46,790.64 = 9,008.97/x
  3. Step 3: Cross multiply
    31,194.67x = 46,790.64 × 9,008.97
  4. Step 4: Simplify right side
    31,194.67x = 421,535,472.04
  5. Step 5: Solve for x
    x = 421,535,472.04/31,194.67
  6. Step 6: Final answer
    x = 13,513.06

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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.