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Finding the Fourth Proportional to 107,843.92, 161,838.78 and 37,723.84

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Solution

The fourth proportional to 107,843.92, 161,838.78 and 37,723.84 is: 56,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,843.92 : 161,838.78 = 37,723.84 : x
  2. Step 2: Convert to fraction form
    107,843.92/161,838.78 = 37,723.84/x
  3. Step 3: Cross multiply
    107,843.92x = 161,838.78 × 37,723.84
  4. Step 4: Simplify right side
    107,843.92x = 6,105,180,242.52
  5. Step 5: Solve for x
    x = 6,105,180,242.52/107,843.92
  6. Step 6: Final answer
    x = 56,611.26

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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.