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Finding the Fourth Proportional to 55,181, 82,780.14 and 18,253.64

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Solution

The fourth proportional to 55,181, 82,780.14 and 18,253.64 is: 27,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,181 : 82,780.14 = 18,253.64 : x
  2. Step 2: Convert to fraction form
    55,181/82,780.14 = 18,253.64/x
  3. Step 3: Cross multiply
    55,181x = 82,780.14 × 18,253.64
  4. Step 4: Simplify right side
    55,181x = 1,511,038,874.71
  5. Step 5: Solve for x
    x = 1,511,038,874.71/55,181
  6. Step 6: Final answer
    x = 27,383.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.