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Finding the Fourth Proportional to 92,584.32, 138,847.83 and 33,412.50

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Solution

The fourth proportional to 92,584.32, 138,847.83 and 33,412.50 is: 50,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584.32 : 138,847.83 = 33,412.50 : x
  2. Step 2: Convert to fraction form
    92,584.32/138,847.83 = 33,412.50/x
  3. Step 3: Cross multiply
    92,584.32x = 138,847.83 × 33,412.50
  4. Step 4: Simplify right side
    92,584.32x = 4,639,253,119.88
  5. Step 5: Solve for x
    x = 4,639,253,119.88/92,584.32
  6. Step 6: Final answer
    x = 50,108.41

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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.