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Finding the Fourth Proportional to 32,754.92, 49,097.34 and 16,944.03

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Solution

The fourth proportional to 32,754.92, 49,097.34 and 16,944.03 is: 25,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.92 : 49,097.34 = 16,944.03 : x
  2. Step 2: Convert to fraction form
    32,754.92/49,097.34 = 16,944.03/x
  3. Step 3: Cross multiply
    32,754.92x = 49,097.34 × 16,944.03
  4. Step 4: Simplify right side
    32,754.92x = 831,906,801.88
  5. Step 5: Solve for x
    x = 831,906,801.88/32,754.92
  6. Step 6: Final answer
    x = 25,397.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.