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Finding the Fourth Proportional to 101,211.50, 151,817.26 and 31,090.82

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Solution

The fourth proportional to 101,211.50, 151,817.26 and 31,090.82 is: 46,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,211.50 : 151,817.26 = 31,090.82 : x
  2. Step 2: Convert to fraction form
    101,211.50/151,817.26 = 31,090.82/x
  3. Step 3: Cross multiply
    101,211.50x = 151,817.26 × 31,090.82
  4. Step 4: Simplify right side
    101,211.50x = 4,720,123,103.55
  5. Step 5: Solve for x
    x = 4,720,123,103.55/101,211.50
  6. Step 6: Final answer
    x = 46,636.23

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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.