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Finding the Fourth Proportional to 69,748.56, 96,245.82 and 41,448.80

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Solution

The fourth proportional to 69,748.56, 96,245.82 and 41,448.80 is: 57,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,748.56 : 96,245.82 = 41,448.80 : x
  2. Step 2: Convert to fraction form
    69,748.56/96,245.82 = 41,448.80/x
  3. Step 3: Cross multiply
    69,748.56x = 96,245.82 × 41,448.80
  4. Step 4: Simplify right side
    69,748.56x = 3,989,273,744.02
  5. Step 5: Solve for x
    x = 3,989,273,744.02/69,748.56
  6. Step 6: Final answer
    x = 57,195.07

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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.