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Finding the Fourth Proportional to 27,523.48, 37,998.14 and 18,119.38

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Solution

The fourth proportional to 27,523.48, 37,998.14 and 18,119.38 is: 25,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.48 : 37,998.14 = 18,119.38 : x
  2. Step 2: Convert to fraction form
    27,523.48/37,998.14 = 18,119.38/x
  3. Step 3: Cross multiply
    27,523.48x = 37,998.14 × 18,119.38
  4. Step 4: Simplify right side
    27,523.48x = 688,502,737.95
  5. Step 5: Solve for x
    x = 688,502,737.95/27,523.48
  6. Step 6: Final answer
    x = 25,015.10

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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.