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Finding the Fourth Proportional to 55,706.22, 76,876.11 and 31,836.78

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Solution

The fourth proportional to 55,706.22, 76,876.11 and 31,836.78 is: 43,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.22 : 76,876.11 = 31,836.78 : x
  2. Step 2: Convert to fraction form
    55,706.22/76,876.11 = 31,836.78/x
  3. Step 3: Cross multiply
    55,706.22x = 76,876.11 × 31,836.78
  4. Step 4: Simplify right side
    55,706.22x = 2,447,487,801.33
  5. Step 5: Solve for x
    x = 2,447,487,801.33/55,706.22
  6. Step 6: Final answer
    x = 43,935.63

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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.