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Finding the Fourth Proportional to 27,672.84, 38,178.54 and 21,301.38

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Solution

The fourth proportional to 27,672.84, 38,178.54 and 21,301.38 is: 29,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.84 : 38,178.54 = 21,301.38 : x
  2. Step 2: Convert to fraction form
    27,672.84/38,178.54 = 21,301.38/x
  3. Step 3: Cross multiply
    27,672.84x = 38,178.54 × 21,301.38
  4. Step 4: Simplify right side
    27,672.84x = 813,255,588.39
  5. Step 5: Solve for x
    x = 813,255,588.39/27,672.84
  6. Step 6: Final answer
    x = 29,388.22

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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.