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Finding the Fourth Proportional to 59,197.42, 81,694.41 and 32,342.43

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Solution

The fourth proportional to 59,197.42, 81,694.41 and 32,342.43 is: 44,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,197.42 : 81,694.41 = 32,342.43 : x
  2. Step 2: Convert to fraction form
    59,197.42/81,694.41 = 32,342.43/x
  3. Step 3: Cross multiply
    59,197.42x = 81,694.41 × 32,342.43
  4. Step 4: Simplify right side
    59,197.42x = 2,642,195,736.82
  5. Step 5: Solve for x
    x = 2,642,195,736.82/59,197.42
  6. Step 6: Final answer
    x = 44,633.63

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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.