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Finding the Fourth Proportional to 57,586.80, 86,392.32 and 32,638.80

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Solution

The fourth proportional to 57,586.80, 86,392.32 and 32,638.80 is: 48,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.80 : 86,392.32 = 32,638.80 : x
  2. Step 2: Convert to fraction form
    57,586.80/86,392.32 = 32,638.80/x
  3. Step 3: Cross multiply
    57,586.80x = 86,392.32 × 32,638.80
  4. Step 4: Simplify right side
    57,586.80x = 2,819,741,654.02
  5. Step 5: Solve for x
    x = 2,819,741,654.02/57,586.80
  6. Step 6: Final answer
    x = 48,965.07

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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.