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Finding the Fourth Proportional to 27,649.49, 38,144.28 and 17,572.53

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Solution

The fourth proportional to 27,649.49, 38,144.28 and 17,572.53 is: 24,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.49 : 38,144.28 = 17,572.53 : x
  2. Step 2: Convert to fraction form
    27,649.49/38,144.28 = 17,572.53/x
  3. Step 3: Cross multiply
    27,649.49x = 38,144.28 × 17,572.53
  4. Step 4: Simplify right side
    27,649.49x = 670,291,504.63
  5. Step 5: Solve for x
    x = 670,291,504.63/27,649.49
  6. Step 6: Final answer
    x = 24,242.46

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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.