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Finding the Fourth Proportional to 49,142.70, 73,604.70 and 42,581.70

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Solution

The fourth proportional to 49,142.70, 73,604.70 and 42,581.70 is: 63,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142.70 : 73,604.70 = 42,581.70 : x
  2. Step 2: Convert to fraction form
    49,142.70/73,604.70 = 42,581.70/x
  3. Step 3: Cross multiply
    49,142.70x = 73,604.70 × 42,581.70
  4. Step 4: Simplify right side
    49,142.70x = 3,134,213,253.99
  5. Step 5: Solve for x
    x = 3,134,213,253.99/49,142.70
  6. Step 6: Final answer
    x = 63,777.80

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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.