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Finding the Fourth Proportional to 106,021.43, 159,032.01 and 27,135.68

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Solution

The fourth proportional to 106,021.43, 159,032.01 and 27,135.68 is: 40,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,021.43 : 159,032.01 = 27,135.68 : x
  2. Step 2: Convert to fraction form
    106,021.43/159,032.01 = 27,135.68/x
  3. Step 3: Cross multiply
    106,021.43x = 159,032.01 × 27,135.68
  4. Step 4: Simplify right side
    106,021.43x = 4,315,441,733.12
  5. Step 5: Solve for x
    x = 4,315,441,733.12/106,021.43
  6. Step 6: Final answer
    x = 40,703.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.