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Finding the Fourth Proportional to 32,087.46, 48,142.12 and 17,297.80

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Solution

The fourth proportional to 32,087.46, 48,142.12 and 17,297.80 is: 25,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087.46 : 48,142.12 = 17,297.80 : x
  2. Step 2: Convert to fraction form
    32,087.46/48,142.12 = 17,297.80/x
  3. Step 3: Cross multiply
    32,087.46x = 48,142.12 × 17,297.80
  4. Step 4: Simplify right side
    32,087.46x = 832,752,763.34
  5. Step 5: Solve for x
    x = 832,752,763.34/32,087.46
  6. Step 6: Final answer
    x = 25,952.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.