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Finding the Fourth Proportional to 32,686, 45,107.40 and 17,782

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Solution

The fourth proportional to 32,686, 45,107.40 and 17,782 is: 24,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686 : 45,107.40 = 17,782 : x
  2. Step 2: Convert to fraction form
    32,686/45,107.40 = 17,782/x
  3. Step 3: Cross multiply
    32,686x = 45,107.40 × 17,782
  4. Step 4: Simplify right side
    32,686x = 802,099,786.80
  5. Step 5: Solve for x
    x = 802,099,786.80/32,686
  6. Step 6: Final answer
    x = 24,539.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.