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Finding the Fourth Proportional to 31,171.52, 46,687.56 and 14,506.60

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Solution

The fourth proportional to 31,171.52, 46,687.56 and 14,506.60 is: 21,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.52 : 46,687.56 = 14,506.60 : x
  2. Step 2: Convert to fraction form
    31,171.52/46,687.56 = 14,506.60/x
  3. Step 3: Cross multiply
    31,171.52x = 46,687.56 × 14,506.60
  4. Step 4: Simplify right side
    31,171.52x = 677,277,757.90
  5. Step 5: Solve for x
    x = 677,277,757.90/31,171.52
  6. Step 6: Final answer
    x = 21,727.45

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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.