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Finding the Fourth Proportional to 37,384.54, 51,813.39 and 36,684.70

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Solution

The fourth proportional to 37,384.54, 51,813.39 and 36,684.70 is: 50,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384.54 : 51,813.39 = 36,684.70 : x
  2. Step 2: Convert to fraction form
    37,384.54/51,813.39 = 36,684.70/x
  3. Step 3: Cross multiply
    37,384.54x = 51,813.39 × 36,684.70
  4. Step 4: Simplify right side
    37,384.54x = 1,900,758,668.13
  5. Step 5: Solve for x
    x = 1,900,758,668.13/37,384.54
  6. Step 6: Final answer
    x = 50,843.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.