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Finding the Fourth Proportional to 32,932.16, 49,398.24 and 7,972.21

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Solution

The fourth proportional to 32,932.16, 49,398.24 and 7,972.21 is: 11,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.16 : 49,398.24 = 7,972.21 : x
  2. Step 2: Convert to fraction form
    32,932.16/49,398.24 = 7,972.21/x
  3. Step 3: Cross multiply
    32,932.16x = 49,398.24 × 7,972.21
  4. Step 4: Simplify right side
    32,932.16x = 393,813,142.91
  5. Step 5: Solve for x
    x = 393,813,142.91/32,932.16
  6. Step 6: Final answer
    x = 11,958.32

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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.