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Finding the Fourth Proportional to 31,299.98, 46,670.74 and 27,822.66

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Solution

The fourth proportional to 31,299.98, 46,670.74 and 27,822.66 is: 41,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.98 : 46,670.74 = 27,822.66 : x
  2. Step 2: Convert to fraction form
    31,299.98/46,670.74 = 27,822.66/x
  3. Step 3: Cross multiply
    31,299.98x = 46,670.74 × 27,822.66
  4. Step 4: Simplify right side
    31,299.98x = 1,298,504,130.97
  5. Step 5: Solve for x
    x = 1,298,504,130.97/31,299.98
  6. Step 6: Final answer
    x = 41,485.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.