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Finding the Fourth Proportional to 57,410.98, 86,089.13 and 21,874.05

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Solution

The fourth proportional to 57,410.98, 86,089.13 and 21,874.05 is: 32,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.98 : 86,089.13 = 21,874.05 : x
  2. Step 2: Convert to fraction form
    57,410.98/86,089.13 = 21,874.05/x
  3. Step 3: Cross multiply
    57,410.98x = 86,089.13 × 21,874.05
  4. Step 4: Simplify right side
    57,410.98x = 1,883,117,906.73
  5. Step 5: Solve for x
    x = 1,883,117,906.73/57,410.98
  6. Step 6: Final answer
    x = 32,800.66

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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.