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Finding the Fourth Proportional to 36,996.84, 51,054.57 and 20,229.84

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Solution

The fourth proportional to 36,996.84, 51,054.57 and 20,229.84 is: 27,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996.84 : 51,054.57 = 20,229.84 : x
  2. Step 2: Convert to fraction form
    36,996.84/51,054.57 = 20,229.84/x
  3. Step 3: Cross multiply
    36,996.84x = 51,054.57 × 20,229.84
  4. Step 4: Simplify right side
    36,996.84x = 1,032,825,782.37
  5. Step 5: Solve for x
    x = 1,032,825,782.37/36,996.84
  6. Step 6: Final answer
    x = 27,916.59

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1.5x scale

Why These Related Problems?

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