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Finding the Fourth Proportional to 27,375.36, 37,778.04 and 15,438.66

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Solution

The fourth proportional to 27,375.36, 37,778.04 and 15,438.66 is: 21,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375.36 : 37,778.04 = 15,438.66 : x
  2. Step 2: Convert to fraction form
    27,375.36/37,778.04 = 15,438.66/x
  3. Step 3: Cross multiply
    27,375.36x = 37,778.04 × 15,438.66
  4. Step 4: Simplify right side
    27,375.36x = 583,242,315.03
  5. Step 5: Solve for x
    x = 583,242,315.03/27,375.36
  6. Step 6: Final answer
    x = 21,305.38

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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.