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Finding the Fourth Proportional to 84,598.92, 126,906.90 and 31,304.94

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Solution

The fourth proportional to 84,598.92, 126,906.90 and 31,304.94 is: 46,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,598.92 : 126,906.90 = 31,304.94 : x
  2. Step 2: Convert to fraction form
    84,598.92/126,906.90 = 31,304.94/x
  3. Step 3: Cross multiply
    84,598.92x = 126,906.90 × 31,304.94
  4. Step 4: Simplify right side
    84,598.92x = 3,972,812,890.09
  5. Step 5: Solve for x
    x = 3,972,812,890.09/84,598.92
  6. Step 6: Final answer
    x = 46,960.56

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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.