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Finding the Fourth Proportional to 69,398.64, 95,766.50 and 40,714.31

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Solution

The fourth proportional to 69,398.64, 95,766.50 and 40,714.31 is: 56,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398.64 : 95,766.50 = 40,714.31 : x
  2. Step 2: Convert to fraction form
    69,398.64/95,766.50 = 40,714.31/x
  3. Step 3: Cross multiply
    69,398.64x = 95,766.50 × 40,714.31
  4. Step 4: Simplify right side
    69,398.64x = 3,899,067,309.82
  5. Step 5: Solve for x
    x = 3,899,067,309.82/69,398.64
  6. Step 6: Final answer
    x = 56,183.63

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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.