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Finding the Fourth Proportional to 31,107.60, 46,661.40 and 10,331.10

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Solution

The fourth proportional to 31,107.60, 46,661.40 and 10,331.10 is: 15,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.60 : 46,661.40 = 10,331.10 : x
  2. Step 2: Convert to fraction form
    31,107.60/46,661.40 = 10,331.10/x
  3. Step 3: Cross multiply
    31,107.60x = 46,661.40 × 10,331.10
  4. Step 4: Simplify right side
    31,107.60x = 482,063,589.54
  5. Step 5: Solve for x
    x = 482,063,589.54/31,107.60
  6. Step 6: Final answer
    x = 15,496.65

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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.