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Finding the Fourth Proportional to 106,398.70, 159,603.54 and 27,513.61

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Solution

The fourth proportional to 106,398.70, 159,603.54 and 27,513.61 is: 41,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398.70 : 159,603.54 = 27,513.61 : x
  2. Step 2: Convert to fraction form
    106,398.70/159,603.54 = 27,513.61/x
  3. Step 3: Cross multiply
    106,398.70x = 159,603.54 × 27,513.61
  4. Step 4: Simplify right side
    106,398.70x = 4,391,269,554.18
  5. Step 5: Solve for x
    x = 4,391,269,554.18/106,398.70
  6. Step 6: Final answer
    x = 41,271.83

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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.