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Finding the Fourth Proportional to 37,136.50, 51,248.13 and 20,140.78

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Solution

The fourth proportional to 37,136.50, 51,248.13 and 20,140.78 is: 27,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.50 : 51,248.13 = 20,140.78 : x
  2. Step 2: Convert to fraction form
    37,136.50/51,248.13 = 20,140.78/x
  3. Step 3: Cross multiply
    37,136.50x = 51,248.13 × 20,140.78
  4. Step 4: Simplify right side
    37,136.50x = 1,032,177,311.74
  5. Step 5: Solve for x
    x = 1,032,177,311.74/37,136.50
  6. Step 6: Final answer
    x = 27,794.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.