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Finding the Fourth Proportional to 76,596.52, 114,928.95 and 39,136.87

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Solution

The fourth proportional to 76,596.52, 114,928.95 and 39,136.87 is: 58,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.52 : 114,928.95 = 39,136.87 : x
  2. Step 2: Convert to fraction form
    76,596.52/114,928.95 = 39,136.87/x
  3. Step 3: Cross multiply
    76,596.52x = 114,928.95 × 39,136.87
  4. Step 4: Simplify right side
    76,596.52x = 4,497,959,375.39
  5. Step 5: Solve for x
    x = 4,497,959,375.39/76,596.52
  6. Step 6: Final answer
    x = 58,722.76

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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.