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Finding the Fourth Proportional to 37,786, 51,813.08 and 36,801.85

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Solution

The fourth proportional to 37,786, 51,813.08 and 36,801.85 is: 50,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786 : 51,813.08 = 36,801.85 : x
  2. Step 2: Convert to fraction form
    37,786/51,813.08 = 36,801.85/x
  3. Step 3: Cross multiply
    37,786x = 51,813.08 × 36,801.85
  4. Step 4: Simplify right side
    37,786x = 1,906,817,198.20
  5. Step 5: Solve for x
    x = 1,906,817,198.20/37,786
  6. Step 6: Final answer
    x = 50,463.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.