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Finding the Fourth Proportional to 78,843.84, 118,163.08 and 32,042

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Solution

The fourth proportional to 78,843.84, 118,163.08 and 32,042 is: 48,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,843.84 : 118,163.08 = 32,042 : x
  2. Step 2: Convert to fraction form
    78,843.84/118,163.08 = 32,042/x
  3. Step 3: Cross multiply
    78,843.84x = 118,163.08 × 32,042
  4. Step 4: Simplify right side
    78,843.84x = 3,786,181,409.36
  5. Step 5: Solve for x
    x = 3,786,181,409.36/78,843.84
  6. Step 6: Final answer
    x = 48,021.27

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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.