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Finding the Fourth Proportional to 32,659.68, 48,982.08 and 9,280.32

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Solution

The fourth proportional to 32,659.68, 48,982.08 and 9,280.32 is: 13,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.68 : 48,982.08 = 9,280.32 : x
  2. Step 2: Convert to fraction form
    32,659.68/48,982.08 = 9,280.32/x
  3. Step 3: Cross multiply
    32,659.68x = 48,982.08 × 9,280.32
  4. Step 4: Simplify right side
    32,659.68x = 454,569,376.67
  5. Step 5: Solve for x
    x = 454,569,376.67/32,659.68
  6. Step 6: Final answer
    x = 13,918.37

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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.