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Finding the Fourth Proportional to 57,769.86, 86,654.92 and 15,650.20

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Solution

The fourth proportional to 57,769.86, 86,654.92 and 15,650.20 is: 23,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.86 : 86,654.92 = 15,650.20 : x
  2. Step 2: Convert to fraction form
    57,769.86/86,654.92 = 15,650.20/x
  3. Step 3: Cross multiply
    57,769.86x = 86,654.92 × 15,650.20
  4. Step 4: Simplify right side
    57,769.86x = 1,356,166,828.98
  5. Step 5: Solve for x
    x = 1,356,166,828.98/57,769.86
  6. Step 6: Final answer
    x = 23,475.34

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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.