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Finding the Fourth Proportional to 57,683.20, 86,524.80 and 36,050.80

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Solution

The fourth proportional to 57,683.20, 86,524.80 and 36,050.80 is: 54,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,683.20 : 86,524.80 = 36,050.80 : x
  2. Step 2: Convert to fraction form
    57,683.20/86,524.80 = 36,050.80/x
  3. Step 3: Cross multiply
    57,683.20x = 86,524.80 × 36,050.80
  4. Step 4: Simplify right side
    57,683.20x = 3,119,288,259.84
  5. Step 5: Solve for x
    x = 3,119,288,259.84/57,683.20
  6. Step 6: Final answer
    x = 54,076.20

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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.