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Finding the Fourth Proportional to 76,174.56, 114,260.60 and 20,770.56

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Solution

The fourth proportional to 76,174.56, 114,260.60 and 20,770.56 is: 31,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,174.56 : 114,260.60 = 20,770.56 : x
  2. Step 2: Convert to fraction form
    76,174.56/114,260.60 = 20,770.56/x
  3. Step 3: Cross multiply
    76,174.56x = 114,260.60 × 20,770.56
  4. Step 4: Simplify right side
    76,174.56x = 2,373,256,647.94
  5. Step 5: Solve for x
    x = 2,373,256,647.94/76,174.56
  6. Step 6: Final answer
    x = 31,155.50

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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.