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Finding the Fourth Proportional to 36,995, 51,054.36 and 20,229.08

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Solution

The fourth proportional to 36,995, 51,054.36 and 20,229.08 is: 27,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,995 : 51,054.36 = 20,229.08 : x
  2. Step 2: Convert to fraction form
    36,995/51,054.36 = 20,229.08/x
  3. Step 3: Cross multiply
    36,995x = 51,054.36 × 20,229.08
  4. Step 4: Simplify right side
    36,995x = 1,032,782,732.79
  5. Step 5: Solve for x
    x = 1,032,782,732.79/36,995
  6. Step 6: Final answer
    x = 27,916.82

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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.