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Finding the Fourth Proportional to 93,546.56, 140,274.36 and 31,196

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Solution

The fourth proportional to 93,546.56, 140,274.36 and 31,196 is: 46,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,546.56 : 140,274.36 = 31,196 : x
  2. Step 2: Convert to fraction form
    93,546.56/140,274.36 = 31,196/x
  3. Step 3: Cross multiply
    93,546.56x = 140,274.36 × 31,196
  4. Step 4: Simplify right side
    93,546.56x = 4,375,998,934.56
  5. Step 5: Solve for x
    x = 4,375,998,934.56/93,546.56
  6. Step 6: Final answer
    x = 46,778.83

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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.