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Finding the Fourth Proportional to 58,399.64, 80,593.19 and 32,906.31

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Solution

The fourth proportional to 58,399.64, 80,593.19 and 32,906.31 is: 45,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,399.64 : 80,593.19 = 32,906.31 : x
  2. Step 2: Convert to fraction form
    58,399.64/80,593.19 = 32,906.31/x
  3. Step 3: Cross multiply
    58,399.64x = 80,593.19 × 32,906.31
  4. Step 4: Simplify right side
    58,399.64x = 2,652,024,604.01
  5. Step 5: Solve for x
    x = 2,652,024,604.01/58,399.64
  6. Step 6: Final answer
    x = 45,411.66

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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.