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Finding the Fourth Proportional to 90,774, 136,164.24 and 24,217.92

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Solution

The fourth proportional to 90,774, 136,164.24 and 24,217.92 is: 36,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 136,164.24 = 24,217.92 : x
  2. Step 2: Convert to fraction form
    90,774/136,164.24 = 24,217.92/x
  3. Step 3: Cross multiply
    90,774x = 136,164.24 × 24,217.92
  4. Step 4: Simplify right side
    90,774x = 3,297,614,671.18
  5. Step 5: Solve for x
    x = 3,297,614,671.18/90,774
  6. Step 6: Final answer
    x = 36,327.74

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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.