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Finding the Fourth Proportional to 106,053.57, 159,046.55 and 34,962.96

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Solution

The fourth proportional to 106,053.57, 159,046.55 and 34,962.96 is: 52,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.57 : 159,046.55 = 34,962.96 : x
  2. Step 2: Convert to fraction form
    106,053.57/159,046.55 = 34,962.96/x
  3. Step 3: Cross multiply
    106,053.57x = 159,046.55 × 34,962.96
  4. Step 4: Simplify right side
    106,053.57x = 5,560,738,165.79
  5. Step 5: Solve for x
    x = 5,560,738,165.79/106,053.57
  6. Step 6: Final answer
    x = 52,433.30

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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.