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Finding the Fourth Proportional to 55,696.94, 76,865.84 and 31,823.09

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Solution

The fourth proportional to 55,696.94, 76,865.84 and 31,823.09 is: 43,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,696.94 : 76,865.84 = 31,823.09 : x
  2. Step 2: Convert to fraction form
    55,696.94/76,865.84 = 31,823.09/x
  3. Step 3: Cross multiply
    55,696.94x = 76,865.84 × 31,823.09
  4. Step 4: Simplify right side
    55,696.94x = 2,446,108,544.25
  5. Step 5: Solve for x
    x = 2,446,108,544.25/55,696.94
  6. Step 6: Final answer
    x = 43,918.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.