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Finding the Fourth Proportional to 52,761.96, 79,142.28 and 21,186

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Solution

The fourth proportional to 52,761.96, 79,142.28 and 21,186 is: 31,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761.96 : 79,142.28 = 21,186 : x
  2. Step 2: Convert to fraction form
    52,761.96/79,142.28 = 21,186/x
  3. Step 3: Cross multiply
    52,761.96x = 79,142.28 × 21,186
  4. Step 4: Simplify right side
    52,761.96x = 1,676,708,344.08
  5. Step 5: Solve for x
    x = 1,676,708,344.08/52,761.96
  6. Step 6: Final answer
    x = 31,778.73

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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.