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Finding the Fourth Proportional to 57,893.72, 86,840.57 and 16,340.72

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Solution

The fourth proportional to 57,893.72, 86,840.57 and 16,340.72 is: 24,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,893.72 : 86,840.57 = 16,340.72 : x
  2. Step 2: Convert to fraction form
    57,893.72/86,840.57 = 16,340.72/x
  3. Step 3: Cross multiply
    57,893.72x = 86,840.57 × 16,340.72
  4. Step 4: Simplify right side
    57,893.72x = 1,419,036,923.10
  5. Step 5: Solve for x
    x = 1,419,036,923.10/57,893.72
  6. Step 6: Final answer
    x = 24,511.07

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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.