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Finding the Fourth Proportional to 59,682, 82,361.84 and 32,824.95

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Solution

The fourth proportional to 59,682, 82,361.84 and 32,824.95 is: 45,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,682 : 82,361.84 = 32,824.95 : x
  2. Step 2: Convert to fraction form
    59,682/82,361.84 = 32,824.95/x
  3. Step 3: Cross multiply
    59,682x = 82,361.84 × 32,824.95
  4. Step 4: Simplify right side
    59,682x = 2,703,523,361.97
  5. Step 5: Solve for x
    x = 2,703,523,361.97/59,682
  6. Step 6: Final answer
    x = 45,298.81

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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.