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Finding the Fourth Proportional to 106,589.52, 159,884.28 and 27,703.22

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Solution

The fourth proportional to 106,589.52, 159,884.28 and 27,703.22 is: 41,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,589.52 : 159,884.28 = 27,703.22 : x
  2. Step 2: Convert to fraction form
    106,589.52/159,884.28 = 27,703.22/x
  3. Step 3: Cross multiply
    106,589.52x = 159,884.28 × 27,703.22
  4. Step 4: Simplify right side
    106,589.52x = 4,429,308,583.96
  5. Step 5: Solve for x
    x = 4,429,308,583.96/106,589.52
  6. Step 6: Final answer
    x = 41,554.82

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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.