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Finding the Fourth Proportional to 55,665, 76,817.88 and 30,171.78

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Solution

The fourth proportional to 55,665, 76,817.88 and 30,171.78 is: 41,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665 : 76,817.88 = 30,171.78 : x
  2. Step 2: Convert to fraction form
    55,665/76,817.88 = 30,171.78/x
  3. Step 3: Cross multiply
    55,665x = 76,817.88 × 30,171.78
  4. Step 4: Simplify right side
    55,665x = 2,317,732,175.43
  5. Step 5: Solve for x
    x = 2,317,732,175.43/55,665
  6. Step 6: Final answer
    x = 41,637.15

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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.