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Finding the Fourth Proportional to 32,474.97, 48,710.61 and 8,782.17

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Solution

The fourth proportional to 32,474.97, 48,710.61 and 8,782.17 is: 13,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.97 : 48,710.61 = 8,782.17 : x
  2. Step 2: Convert to fraction form
    32,474.97/48,710.61 = 8,782.17/x
  3. Step 3: Cross multiply
    32,474.97x = 48,710.61 × 8,782.17
  4. Step 4: Simplify right side
    32,474.97x = 427,784,857.82
  5. Step 5: Solve for x
    x = 427,784,857.82/32,474.97
  6. Step 6: Final answer
    x = 13,172.76

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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.