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Finding the Fourth Proportional to 106,189.92, 159,269.49 and 31,294.89

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Solution

The fourth proportional to 106,189.92, 159,269.49 and 31,294.89 is: 46,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,189.92 : 159,269.49 = 31,294.89 : x
  2. Step 2: Convert to fraction form
    106,189.92/159,269.49 = 31,294.89/x
  3. Step 3: Cross multiply
    106,189.92x = 159,269.49 × 31,294.89
  4. Step 4: Simplify right side
    106,189.92x = 4,984,321,169.91
  5. Step 5: Solve for x
    x = 4,984,321,169.91/106,189.92
  6. Step 6: Final answer
    x = 46,937.80

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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.