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Finding the Fourth Proportional to 31,217.64, 46,822.98 and 7,844.13

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Solution

The fourth proportional to 31,217.64, 46,822.98 and 7,844.13 is: 11,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,217.64 : 46,822.98 = 7,844.13 : x
  2. Step 2: Convert to fraction form
    31,217.64/46,822.98 = 7,844.13/x
  3. Step 3: Cross multiply
    31,217.64x = 46,822.98 × 7,844.13
  4. Step 4: Simplify right side
    31,217.64x = 367,285,542.11
  5. Step 5: Solve for x
    x = 367,285,542.11/31,217.64
  6. Step 6: Final answer
    x = 11,765.32

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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.