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Finding the Fourth Proportional to 106,054.57, 159,048.05 and 34,963.96

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Solution

The fourth proportional to 106,054.57, 159,048.05 and 34,963.96 is: 52,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,054.57 : 159,048.05 = 34,963.96 : x
  2. Step 2: Convert to fraction form
    106,054.57/159,048.05 = 34,963.96/x
  3. Step 3: Cross multiply
    106,054.57x = 159,048.05 × 34,963.96
  4. Step 4: Simplify right side
    106,054.57x = 5,560,949,658.28
  5. Step 5: Solve for x
    x = 5,560,949,658.28/106,054.57
  6. Step 6: Final answer
    x = 52,434.80

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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.