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Finding the Fourth Proportional to 32,853.92, 49,270.55 and 10,662.17

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Solution

The fourth proportional to 32,853.92, 49,270.55 and 10,662.17 is: 15,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.92 : 49,270.55 = 10,662.17 : x
  2. Step 2: Convert to fraction form
    32,853.92/49,270.55 = 10,662.17/x
  3. Step 3: Cross multiply
    32,853.92x = 49,270.55 × 10,662.17
  4. Step 4: Simplify right side
    32,853.92x = 525,330,680.43
  5. Step 5: Solve for x
    x = 525,330,680.43/32,853.92
  6. Step 6: Final answer
    x = 15,989.90

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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.