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Finding the Fourth Proportional to 101,771.18, 152,627.60 and 34,295.84

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Solution

The fourth proportional to 101,771.18, 152,627.60 and 34,295.84 is: 51,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,771.18 : 152,627.60 = 34,295.84 : x
  2. Step 2: Convert to fraction form
    101,771.18/152,627.60 = 34,295.84/x
  3. Step 3: Cross multiply
    101,771.18x = 152,627.60 × 34,295.84
  4. Step 4: Simplify right side
    101,771.18x = 5,234,491,749.18
  5. Step 5: Solve for x
    x = 5,234,491,749.18/101,771.18
  6. Step 6: Final answer
    x = 51,433.93

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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.