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Finding the Fourth Proportional to 69,739.76, 96,242.90 and 39,524.09

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Solution

The fourth proportional to 69,739.76, 96,242.90 and 39,524.09 is: 54,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,739.76 : 96,242.90 = 39,524.09 : x
  2. Step 2: Convert to fraction form
    69,739.76/96,242.90 = 39,524.09/x
  3. Step 3: Cross multiply
    69,739.76x = 96,242.90 × 39,524.09
  4. Step 4: Simplify right side
    69,739.76x = 3,803,912,362.63
  5. Step 5: Solve for x
    x = 3,803,912,362.63/69,739.76
  6. Step 6: Final answer
    x = 54,544.38

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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.