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Finding the Fourth Proportional to 92,584, 138,847.20 and 33,411.92

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Solution

The fourth proportional to 92,584, 138,847.20 and 33,411.92 is: 50,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584 : 138,847.20 = 33,411.92 : x
  2. Step 2: Convert to fraction form
    92,584/138,847.20 = 33,411.92/x
  3. Step 3: Cross multiply
    92,584x = 138,847.20 × 33,411.92
  4. Step 4: Simplify right side
    92,584x = 4,639,151,538.62
  5. Step 5: Solve for x
    x = 4,639,151,538.62/92,584
  6. Step 6: Final answer
    x = 50,107.49

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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.