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Finding the Fourth Proportional to 31,302.13, 46,674.01 and 27,824.80

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Solution

The fourth proportional to 31,302.13, 46,674.01 and 27,824.80 is: 41,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.13 : 46,674.01 = 27,824.80 : x
  2. Step 2: Convert to fraction form
    31,302.13/46,674.01 = 27,824.80/x
  3. Step 3: Cross multiply
    31,302.13x = 46,674.01 × 27,824.80
  4. Step 4: Simplify right side
    31,302.13x = 1,298,694,993.45
  5. Step 5: Solve for x
    x = 1,298,694,993.45/31,302.13
  6. Step 6: Final answer
    x = 41,489.03

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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.