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Finding the Fourth Proportional to 27,109.51, 37,344.27 and 23,063.38

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Solution

The fourth proportional to 27,109.51, 37,344.27 and 23,063.38 is: 31,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.51 : 37,344.27 = 23,063.38 : x
  2. Step 2: Convert to fraction form
    27,109.51/37,344.27 = 23,063.38/x
  3. Step 3: Cross multiply
    27,109.51x = 37,344.27 × 23,063.38
  4. Step 4: Simplify right side
    27,109.51x = 861,284,903.11
  5. Step 5: Solve for x
    x = 861,284,903.11/27,109.51
  6. Step 6: Final answer
    x = 31,770.59

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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.