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Finding the Fourth Proportional to 27,422.33, 37,806.21 and 20,587.41

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Solution

The fourth proportional to 27,422.33, 37,806.21 and 20,587.41 is: 28,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.33 : 37,806.21 = 20,587.41 : x
  2. Step 2: Convert to fraction form
    27,422.33/37,806.21 = 20,587.41/x
  3. Step 3: Cross multiply
    27,422.33x = 37,806.21 × 20,587.41
  4. Step 4: Simplify right side
    27,422.33x = 778,331,945.82
  5. Step 5: Solve for x
    x = 778,331,945.82/27,422.33
  6. Step 6: Final answer
    x = 28,383.15

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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.