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Finding the Fourth Proportional to 31,238.60, 46,850.94 and 9,047.08

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Solution

The fourth proportional to 31,238.60, 46,850.94 and 9,047.08 is: 13,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.60 : 46,850.94 = 9,047.08 : x
  2. Step 2: Convert to fraction form
    31,238.60/46,850.94 = 9,047.08/x
  3. Step 3: Cross multiply
    31,238.60x = 46,850.94 × 9,047.08
  4. Step 4: Simplify right side
    31,238.60x = 423,864,202.26
  5. Step 5: Solve for x
    x = 423,864,202.26/31,238.60
  6. Step 6: Final answer
    x = 13,568.60

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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.