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Finding the Fourth Proportional to 81,053.24, 111,861.90 and 45,255.56

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Solution

The fourth proportional to 81,053.24, 111,861.90 and 45,255.56 is: 62,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053.24 : 111,861.90 = 45,255.56 : x
  2. Step 2: Convert to fraction form
    81,053.24/111,861.90 = 45,255.56/x
  3. Step 3: Cross multiply
    81,053.24x = 111,861.90 × 45,255.56
  4. Step 4: Simplify right side
    81,053.24x = 5,062,372,927.16
  5. Step 5: Solve for x
    x = 5,062,372,927.16/81,053.24
  6. Step 6: Final answer
    x = 62,457.38

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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.