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Finding the Fourth Proportional to 93,548.56, 140,277.36 and 31,198

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Solution

The fourth proportional to 93,548.56, 140,277.36 and 31,198 is: 46,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,548.56 : 140,277.36 = 31,198 : x
  2. Step 2: Convert to fraction form
    93,548.56/140,277.36 = 31,198/x
  3. Step 3: Cross multiply
    93,548.56x = 140,277.36 × 31,198
  4. Step 4: Simplify right side
    93,548.56x = 4,376,373,077.28
  5. Step 5: Solve for x
    x = 4,376,373,077.28/93,548.56
  6. Step 6: Final answer
    x = 46,781.83

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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.