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Finding the Fourth Proportional to 106,294.73, 159,469.51 and 39,735.36

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Solution

The fourth proportional to 106,294.73, 159,469.51 and 39,735.36 is: 59,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.73 : 159,469.51 = 39,735.36 : x
  2. Step 2: Convert to fraction form
    106,294.73/159,469.51 = 39,735.36/x
  3. Step 3: Cross multiply
    106,294.73x = 159,469.51 × 39,735.36
  4. Step 4: Simplify right side
    106,294.73x = 6,336,578,364.04
  5. Step 5: Solve for x
    x = 6,336,578,364.04/106,294.73
  6. Step 6: Final answer
    x = 59,613.29

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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.