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Finding the Fourth Proportional to 59,702, 82,383.36 and 32,845.64

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Solution

The fourth proportional to 59,702, 82,383.36 and 32,845.64 is: 45,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702 : 82,383.36 = 32,845.64 : x
  2. Step 2: Convert to fraction form
    59,702/82,383.36 = 32,845.64/x
  3. Step 3: Cross multiply
    59,702x = 82,383.36 × 32,845.64
  4. Step 4: Simplify right side
    59,702x = 2,705,934,184.55
  5. Step 5: Solve for x
    x = 2,705,934,184.55/59,702
  6. Step 6: Final answer
    x = 45,324.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.