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Finding the Fourth Proportional to 57,832.80, 86,749.20 and 51,709.20

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Solution

The fourth proportional to 57,832.80, 86,749.20 and 51,709.20 is: 77,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832.80 : 86,749.20 = 51,709.20 : x
  2. Step 2: Convert to fraction form
    57,832.80/86,749.20 = 51,709.20/x
  3. Step 3: Cross multiply
    57,832.80x = 86,749.20 × 51,709.20
  4. Step 4: Simplify right side
    57,832.80x = 4,485,731,732.64
  5. Step 5: Solve for x
    x = 4,485,731,732.64/57,832.80
  6. Step 6: Final answer
    x = 77,563.80

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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.