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Finding the Fourth Proportional to 90,552.16, 135,794.64 and 31,372

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Solution

The fourth proportional to 90,552.16, 135,794.64 and 31,372 is: 47,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,552.16 : 135,794.64 = 31,372 : x
  2. Step 2: Convert to fraction form
    90,552.16/135,794.64 = 31,372/x
  3. Step 3: Cross multiply
    90,552.16x = 135,794.64 × 31,372
  4. Step 4: Simplify right side
    90,552.16x = 4,260,149,446.08
  5. Step 5: Solve for x
    x = 4,260,149,446.08/90,552.16
  6. Step 6: Final answer
    x = 47,046.36

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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.