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Finding the Fourth Proportional to 27,111.09, 37,412.93 and 15,174.42

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Solution

The fourth proportional to 27,111.09, 37,412.93 and 15,174.42 is: 20,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111.09 : 37,412.93 = 15,174.42 : x
  2. Step 2: Convert to fraction form
    27,111.09/37,412.93 = 15,174.42/x
  3. Step 3: Cross multiply
    27,111.09x = 37,412.93 × 15,174.42
  4. Step 4: Simplify right side
    27,111.09x = 567,719,437.38
  5. Step 5: Solve for x
    x = 567,719,437.38/27,111.09
  6. Step 6: Final answer
    x = 20,940.49

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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.