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Finding the Fourth Proportional to 32,640.84, 48,968.46 and 11,864.34

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Solution

The fourth proportional to 32,640.84, 48,968.46 and 11,864.34 is: 17,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.84 : 48,968.46 = 11,864.34 : x
  2. Step 2: Convert to fraction form
    32,640.84/48,968.46 = 11,864.34/x
  3. Step 3: Cross multiply
    32,640.84x = 48,968.46 × 11,864.34
  4. Step 4: Simplify right side
    32,640.84x = 580,978,458.72
  5. Step 5: Solve for x
    x = 580,978,458.72/32,640.84
  6. Step 6: Final answer
    x = 17,799.13

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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.