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Finding the Fourth Proportional to 69,913.86, 96,493.62 and 41,231.76

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Solution

The fourth proportional to 69,913.86, 96,493.62 and 41,231.76 is: 56,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,913.86 : 96,493.62 = 41,231.76 : x
  2. Step 2: Convert to fraction form
    69,913.86/96,493.62 = 41,231.76/x
  3. Step 3: Cross multiply
    69,913.86x = 96,493.62 × 41,231.76
  4. Step 4: Simplify right side
    69,913.86x = 3,978,601,781.37
  5. Step 5: Solve for x
    x = 3,978,601,781.37/69,913.86
  6. Step 6: Final answer
    x = 56,907.20

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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.