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Finding the Fourth Proportional to 31,305.94, 46,679.68 and 27,828.60

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Solution

The fourth proportional to 31,305.94, 46,679.68 and 27,828.60 is: 41,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.94 : 46,679.68 = 27,828.60 : x
  2. Step 2: Convert to fraction form
    31,305.94/46,679.68 = 27,828.60/x
  3. Step 3: Cross multiply
    31,305.94x = 46,679.68 × 27,828.60
  4. Step 4: Simplify right side
    31,305.94x = 1,299,030,142.85
  5. Step 5: Solve for x
    x = 1,299,030,142.85/31,305.94
  6. Step 6: Final answer
    x = 41,494.69

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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.