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Finding the Fourth Proportional to 106,540.31, 159,810.77 and 27,655.22

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Solution

The fourth proportional to 106,540.31, 159,810.77 and 27,655.22 is: 41,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.31 : 159,810.77 = 27,655.22 : x
  2. Step 2: Convert to fraction form
    106,540.31/159,810.77 = 27,655.22/x
  3. Step 3: Cross multiply
    106,540.31x = 159,810.77 × 27,655.22
  4. Step 4: Simplify right side
    106,540.31x = 4,419,602,471.38
  5. Step 5: Solve for x
    x = 4,419,602,471.38/106,540.31
  6. Step 6: Final answer
    x = 41,482.91

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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.