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Finding the Fourth Proportional to 32,439.84, 48,665.34 and 10,252.77

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Solution

The fourth proportional to 32,439.84, 48,665.34 and 10,252.77 is: 15,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,439.84 : 48,665.34 = 10,252.77 : x
  2. Step 2: Convert to fraction form
    32,439.84/48,665.34 = 10,252.77/x
  3. Step 3: Cross multiply
    32,439.84x = 48,665.34 × 10,252.77
  4. Step 4: Simplify right side
    32,439.84x = 498,954,537.99
  5. Step 5: Solve for x
    x = 498,954,537.99/32,439.84
  6. Step 6: Final answer
    x = 15,380.92

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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.