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Finding the Fourth Proportional to 42,771.50, 64,183.98 and 20,587.22

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Solution

The fourth proportional to 42,771.50, 64,183.98 and 20,587.22 is: 30,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771.50 : 64,183.98 = 20,587.22 : x
  2. Step 2: Convert to fraction form
    42,771.50/64,183.98 = 20,587.22/x
  3. Step 3: Cross multiply
    42,771.50x = 64,183.98 × 20,587.22
  4. Step 4: Simplify right side
    42,771.50x = 1,321,369,716.74
  5. Step 5: Solve for x
    x = 1,321,369,716.74/42,771.50
  6. Step 6: Final answer
    x = 30,893.70

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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.