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Finding the Fourth Proportional to 58,593.50, 80,858.99 and 31,736

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Solution

The fourth proportional to 58,593.50, 80,858.99 and 31,736 is: 43,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,593.50 : 80,858.99 = 31,736 : x
  2. Step 2: Convert to fraction form
    58,593.50/80,858.99 = 31,736/x
  3. Step 3: Cross multiply
    58,593.50x = 80,858.99 × 31,736
  4. Step 4: Simplify right side
    58,593.50x = 2,566,140,906.64
  5. Step 5: Solve for x
    x = 2,566,140,906.64/58,593.50
  6. Step 6: Final answer
    x = 43,795.66

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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.