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Finding the Fourth Proportional to 27,617.19, 38,066.19 and 19,540.41

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Solution

The fourth proportional to 27,617.19, 38,066.19 and 19,540.41 is: 26,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.19 : 38,066.19 = 19,540.41 : x
  2. Step 2: Convert to fraction form
    27,617.19/38,066.19 = 19,540.41/x
  3. Step 3: Cross multiply
    27,617.19x = 38,066.19 × 19,540.41
  4. Step 4: Simplify right side
    27,617.19x = 743,828,959.74
  5. Step 5: Solve for x
    x = 743,828,959.74/27,617.19
  6. Step 6: Final answer
    x = 26,933.55

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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.