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Finding the Fourth Proportional to 31,033.14, 46,549.17 and 7,659.60

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Solution

The fourth proportional to 31,033.14, 46,549.17 and 7,659.60 is: 11,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.14 : 46,549.17 = 7,659.60 : x
  2. Step 2: Convert to fraction form
    31,033.14/46,549.17 = 7,659.60/x
  3. Step 3: Cross multiply
    31,033.14x = 46,549.17 × 7,659.60
  4. Step 4: Simplify right side
    31,033.14x = 356,548,022.53
  5. Step 5: Solve for x
    x = 356,548,022.53/31,033.14
  6. Step 6: Final answer
    x = 11,489.27

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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.