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Finding the Fourth Proportional to 106,603.34, 159,885.77 and 27,712.71

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Solution

The fourth proportional to 106,603.34, 159,885.77 and 27,712.71 is: 41,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,603.34 : 159,885.77 = 27,712.71 : x
  2. Step 2: Convert to fraction form
    106,603.34/159,885.77 = 27,712.71/x
  3. Step 3: Cross multiply
    106,603.34x = 159,885.77 × 27,712.71
  4. Step 4: Simplify right side
    106,603.34x = 4,430,867,838.57
  5. Step 5: Solve for x
    x = 4,430,867,838.57/106,603.34
  6. Step 6: Final answer
    x = 41,564.06

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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.