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Finding the Fourth Proportional to 90,823.50, 136,257.12 and 28,494

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Solution

The fourth proportional to 90,823.50, 136,257.12 and 28,494 is: 42,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,823.50 : 136,257.12 = 28,494 : x
  2. Step 2: Convert to fraction form
    90,823.50/136,257.12 = 28,494/x
  3. Step 3: Cross multiply
    90,823.50x = 136,257.12 × 28,494
  4. Step 4: Simplify right side
    90,823.50x = 3,882,510,377.28
  5. Step 5: Solve for x
    x = 3,882,510,377.28/90,823.50
  6. Step 6: Final answer
    x = 42,747.86

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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.