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Finding the Fourth Proportional to 27,242.38, 37,587.81 and 15,905.44

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Solution

The fourth proportional to 27,242.38, 37,587.81 and 15,905.44 is: 21,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.38 : 37,587.81 = 15,905.44 : x
  2. Step 2: Convert to fraction form
    27,242.38/37,587.81 = 15,905.44/x
  3. Step 3: Cross multiply
    27,242.38x = 37,587.81 × 15,905.44
  4. Step 4: Simplify right side
    27,242.38x = 597,850,656.69
  5. Step 5: Solve for x
    x = 597,850,656.69/27,242.38
  6. Step 6: Final answer
    x = 21,945.61

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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.