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Finding the Fourth Proportional to 31,238.40, 46,850.55 and 9,046.80

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Solution

The fourth proportional to 31,238.40, 46,850.55 and 9,046.80 is: 13,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.40 : 46,850.55 = 9,046.80 : x
  2. Step 2: Convert to fraction form
    31,238.40/46,850.55 = 9,046.80/x
  3. Step 3: Cross multiply
    31,238.40x = 46,850.55 × 9,046.80
  4. Step 4: Simplify right side
    31,238.40x = 423,847,555.74
  5. Step 5: Solve for x
    x = 423,847,555.74/31,238.40
  6. Step 6: Final answer
    x = 13,568.16

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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.