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Finding the Fourth Proportional to 57,822.77, 86,675.07 and 32,809.98

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Solution

The fourth proportional to 57,822.77, 86,675.07 and 32,809.98 is: 49,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,822.77 : 86,675.07 = 32,809.98 : x
  2. Step 2: Convert to fraction form
    57,822.77/86,675.07 = 32,809.98/x
  3. Step 3: Cross multiply
    57,822.77x = 86,675.07 × 32,809.98
  4. Step 4: Simplify right side
    57,822.77x = 2,843,807,313.20
  5. Step 5: Solve for x
    x = 2,843,807,313.20/57,822.77
  6. Step 6: Final answer
    x = 49,181.44

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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.