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Finding the Fourth Proportional to 101,072.76, 151,609.50 and 30,951.78

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Solution

The fourth proportional to 101,072.76, 151,609.50 and 30,951.78 is: 46,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,072.76 : 151,609.50 = 30,951.78 : x
  2. Step 2: Convert to fraction form
    101,072.76/151,609.50 = 30,951.78/x
  3. Step 3: Cross multiply
    101,072.76x = 151,609.50 × 30,951.78
  4. Step 4: Simplify right side
    101,072.76x = 4,692,583,889.91
  5. Step 5: Solve for x
    x = 4,692,583,889.91/101,072.76
  6. Step 6: Final answer
    x = 46,427.78

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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.