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Finding the Fourth Proportional to 106,383.60, 159,564.60 and 36,261.90

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Solution

The fourth proportional to 106,383.60, 159,564.60 and 36,261.90 is: 54,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.60 : 159,564.60 = 36,261.90 : x
  2. Step 2: Convert to fraction form
    106,383.60/159,564.60 = 36,261.90/x
  3. Step 3: Cross multiply
    106,383.60x = 159,564.60 × 36,261.90
  4. Step 4: Simplify right side
    106,383.60x = 5,786,115,568.74
  5. Step 5: Solve for x
    x = 5,786,115,568.74/106,383.60
  6. Step 6: Final answer
    x = 54,389.17

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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.