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Finding the Fourth Proportional to 82,136.70, 123,169.05 and 37,748.70

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Solution

The fourth proportional to 82,136.70, 123,169.05 and 37,748.70 is: 56,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136.70 : 123,169.05 = 37,748.70 : x
  2. Step 2: Convert to fraction form
    82,136.70/123,169.05 = 37,748.70/x
  3. Step 3: Cross multiply
    82,136.70x = 123,169.05 × 37,748.70
  4. Step 4: Simplify right side
    82,136.70x = 4,649,471,517.74
  5. Step 5: Solve for x
    x = 4,649,471,517.74/82,136.70
  6. Step 6: Final answer
    x = 56,606.50

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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.