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Finding the Fourth Proportional to 32,282.25, 44,549.34 and 17,942.01

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Solution

The fourth proportional to 32,282.25, 44,549.34 and 17,942.01 is: 24,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.25 : 44,549.34 = 17,942.01 : x
  2. Step 2: Convert to fraction form
    32,282.25/44,549.34 = 17,942.01/x
  3. Step 3: Cross multiply
    32,282.25x = 44,549.34 × 17,942.01
  4. Step 4: Simplify right side
    32,282.25x = 799,304,703.77
  5. Step 5: Solve for x
    x = 799,304,703.77/32,282.25
  6. Step 6: Final answer
    x = 24,759.88

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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.