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Finding the Fourth Proportional to 106,611.38, 159,897.72 and 27,720.71

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Solution

The fourth proportional to 106,611.38, 159,897.72 and 27,720.71 is: 41,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,611.38 : 159,897.72 = 27,720.71 : x
  2. Step 2: Convert to fraction form
    106,611.38/159,897.72 = 27,720.71/x
  3. Step 3: Cross multiply
    106,611.38x = 159,897.72 × 27,720.71
  4. Step 4: Simplify right side
    106,611.38x = 4,432,478,325.78
  5. Step 5: Solve for x
    x = 4,432,478,325.78/106,611.38
  6. Step 6: Final answer
    x = 41,576.03

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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.