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Finding the Fourth Proportional to 75,728.78, 113,613.63 and 23,136.83

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Solution

The fourth proportional to 75,728.78, 113,613.63 and 23,136.83 is: 34,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,728.78 : 113,613.63 = 23,136.83 : x
  2. Step 2: Convert to fraction form
    75,728.78/113,613.63 = 23,136.83/x
  3. Step 3: Cross multiply
    75,728.78x = 113,613.63 × 23,136.83
  4. Step 4: Simplify right side
    75,728.78x = 2,628,659,333.75
  5. Step 5: Solve for x
    x = 2,628,659,333.75/75,728.78
  6. Step 6: Final answer
    x = 34,711.50

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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.