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Finding the Fourth Proportional to 69,502.32, 95,912.64 and 41,221.44

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Solution

The fourth proportional to 69,502.32, 95,912.64 and 41,221.44 is: 56,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,502.32 : 95,912.64 = 41,221.44 : x
  2. Step 2: Convert to fraction form
    69,502.32/95,912.64 = 41,221.44/x
  3. Step 3: Cross multiply
    69,502.32x = 95,912.64 × 41,221.44
  4. Step 4: Simplify right side
    69,502.32x = 3,953,657,135.00
  5. Step 5: Solve for x
    x = 3,953,657,135.00/69,502.32
  6. Step 6: Final answer
    x = 56,885.25

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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.