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Finding the Fourth Proportional to 80,584, 120,880.32 and 25,184.32

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Solution

The fourth proportional to 80,584, 120,880.32 and 25,184.32 is: 37,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,584 : 120,880.32 = 25,184.32 : x
  2. Step 2: Convert to fraction form
    80,584/120,880.32 = 25,184.32/x
  3. Step 3: Cross multiply
    80,584x = 120,880.32 × 25,184.32
  4. Step 4: Simplify right side
    80,584x = 3,044,288,660.58
  5. Step 5: Solve for x
    x = 3,044,288,660.58/80,584
  6. Step 6: Final answer
    x = 37,777.83

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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.