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Finding the Fourth Proportional to 73,845.76, 101,692.74 and 64,150.82

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Solution

The fourth proportional to 73,845.76, 101,692.74 and 64,150.82 is: 88,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,845.76 : 101,692.74 = 64,150.82 : x
  2. Step 2: Convert to fraction form
    73,845.76/101,692.74 = 64,150.82/x
  3. Step 3: Cross multiply
    73,845.76x = 101,692.74 × 64,150.82
  4. Step 4: Simplify right side
    73,845.76x = 6,523,672,659.05
  5. Step 5: Solve for x
    x = 6,523,672,659.05/73,845.76
  6. Step 6: Final answer
    x = 88,341.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.