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Finding the Fourth Proportional to 57,769.80, 86,654.70 and 32,800.20

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Solution

The fourth proportional to 57,769.80, 86,654.70 and 32,800.20 is: 49,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.80 : 86,654.70 = 32,800.20 : x
  2. Step 2: Convert to fraction form
    57,769.80/86,654.70 = 32,800.20/x
  3. Step 3: Cross multiply
    57,769.80x = 86,654.70 × 32,800.20
  4. Step 4: Simplify right side
    57,769.80x = 2,842,291,490.94
  5. Step 5: Solve for x
    x = 2,842,291,490.94/57,769.80
  6. Step 6: Final answer
    x = 49,200.30

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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.