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Finding the Fourth Proportional to 64,190.76, 88,591.50 and 35,898

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Solution

The fourth proportional to 64,190.76, 88,591.50 and 35,898 is: 49,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,190.76 : 88,591.50 = 35,898 : x
  2. Step 2: Convert to fraction form
    64,190.76/88,591.50 = 35,898/x
  3. Step 3: Cross multiply
    64,190.76x = 88,591.50 × 35,898
  4. Step 4: Simplify right side
    64,190.76x = 3,180,257,667
  5. Step 5: Solve for x
    x = 3,180,257,667/64,190.76
  6. Step 6: Final answer
    x = 49,543.85

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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.