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Finding the Fourth Proportional to 55,696.72, 76,863 and 31,827.28

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Solution

The fourth proportional to 55,696.72, 76,863 and 31,827.28 is: 43,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,696.72 : 76,863 = 31,827.28 : x
  2. Step 2: Convert to fraction form
    55,696.72/76,863 = 31,827.28/x
  3. Step 3: Cross multiply
    55,696.72x = 76,863 × 31,827.28
  4. Step 4: Simplify right side
    55,696.72x = 2,446,340,222.64
  5. Step 5: Solve for x
    x = 2,446,340,222.64/55,696.72
  6. Step 6: Final answer
    x = 43,922.52

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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.