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Finding the Fourth Proportional to 32,282.25, 44,551.94 and 19,709.43

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Solution

The fourth proportional to 32,282.25, 44,551.94 and 19,709.43 is: 27,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.25 : 44,551.94 = 19,709.43 : x
  2. Step 2: Convert to fraction form
    32,282.25/44,551.94 = 19,709.43/x
  3. Step 3: Cross multiply
    32,282.25x = 44,551.94 × 19,709.43
  4. Step 4: Simplify right side
    32,282.25x = 878,093,244.25
  5. Step 5: Solve for x
    x = 878,093,244.25/32,282.25
  6. Step 6: Final answer
    x = 27,200.50

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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.