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Finding the Fourth Proportional to 32,902.64, 49,353.50 and 7,942.48

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Solution

The fourth proportional to 32,902.64, 49,353.50 and 7,942.48 is: 11,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.64 : 49,353.50 = 7,942.48 : x
  2. Step 2: Convert to fraction form
    32,902.64/49,353.50 = 7,942.48/x
  3. Step 3: Cross multiply
    32,902.64x = 49,353.50 × 7,942.48
  4. Step 4: Simplify right side
    32,902.64x = 391,989,186.68
  5. Step 5: Solve for x
    x = 391,989,186.68/32,902.64
  6. Step 6: Final answer
    x = 11,913.61

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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.