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Finding the Fourth Proportional to 55,217.89, 82,840.06 and 17,781.49

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Solution

The fourth proportional to 55,217.89, 82,840.06 and 17,781.49 is: 26,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,217.89 : 82,840.06 = 17,781.49 : x
  2. Step 2: Convert to fraction form
    55,217.89/82,840.06 = 17,781.49/x
  3. Step 3: Cross multiply
    55,217.89x = 82,840.06 × 17,781.49
  4. Step 4: Simplify right side
    55,217.89x = 1,473,019,284.29
  5. Step 5: Solve for x
    x = 1,473,019,284.29/55,217.89
  6. Step 6: Final answer
    x = 26,676.49

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