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Finding the Fourth Proportional to 27,649.17, 38,164.02 and 23,912.49

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Solution

The fourth proportional to 27,649.17, 38,164.02 and 23,912.49 is: 33,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.17 : 38,164.02 = 23,912.49 : x
  2. Step 2: Convert to fraction form
    27,649.17/38,164.02 = 23,912.49/x
  3. Step 3: Cross multiply
    27,649.17x = 38,164.02 × 23,912.49
  4. Step 4: Simplify right side
    27,649.17x = 912,596,746.61
  5. Step 5: Solve for x
    x = 912,596,746.61/27,649.17
  6. Step 6: Final answer
    x = 33,006.30

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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.