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Finding the Fourth Proportional to 31,107.52, 46,586.94 and 17,046.40

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Solution

The fourth proportional to 31,107.52, 46,586.94 and 17,046.40 is: 25,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.52 : 46,586.94 = 17,046.40 : x
  2. Step 2: Convert to fraction form
    31,107.52/46,586.94 = 17,046.40/x
  3. Step 3: Cross multiply
    31,107.52x = 46,586.94 × 17,046.40
  4. Step 4: Simplify right side
    31,107.52x = 794,139,614.02
  5. Step 5: Solve for x
    x = 794,139,614.02/31,107.52
  6. Step 6: Final answer
    x = 25,528.86

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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.