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Finding the Fourth Proportional to 57,722.60, 86,612.70 and 32,781.80

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Solution

The fourth proportional to 57,722.60, 86,612.70 and 32,781.80 is: 49,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.60 : 86,612.70 = 32,781.80 : x
  2. Step 2: Convert to fraction form
    57,722.60/86,612.70 = 32,781.80/x
  3. Step 3: Cross multiply
    57,722.60x = 86,612.70 × 32,781.80
  4. Step 4: Simplify right side
    57,722.60x = 2,839,320,208.86
  5. Step 5: Solve for x
    x = 2,839,320,208.86/57,722.60
  6. Step 6: Final answer
    x = 49,189.06

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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.