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Finding the Fourth Proportional to 93,377.75, 140,067.84 and 31,048.25

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Solution

The fourth proportional to 93,377.75, 140,067.84 and 31,048.25 is: 46,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,377.75 : 140,067.84 = 31,048.25 : x
  2. Step 2: Convert to fraction form
    93,377.75/140,067.84 = 31,048.25/x
  3. Step 3: Cross multiply
    93,377.75x = 140,067.84 × 31,048.25
  4. Step 4: Simplify right side
    93,377.75x = 4,348,861,313.28
  5. Step 5: Solve for x
    x = 4,348,861,313.28/93,377.75
  6. Step 6: Final answer
    x = 46,572.78

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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.