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Finding the Fourth Proportional to 76,771.96, 115,136.07 and 48,649.57

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Solution

The fourth proportional to 76,771.96, 115,136.07 and 48,649.57 is: 72,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.96 : 115,136.07 = 48,649.57 : x
  2. Step 2: Convert to fraction form
    76,771.96/115,136.07 = 48,649.57/x
  3. Step 3: Cross multiply
    76,771.96x = 115,136.07 × 48,649.57
  4. Step 4: Simplify right side
    76,771.96x = 5,601,320,296.99
  5. Step 5: Solve for x
    x = 5,601,320,296.99/76,771.96
  6. Step 6: Final answer
    x = 72,960.50

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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.