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Finding the Fourth Proportional to 27,649.63, 38,144.45 and 17,572.67

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Solution

The fourth proportional to 27,649.63, 38,144.45 and 17,572.67 is: 24,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.63 : 38,144.45 = 17,572.67 : x
  2. Step 2: Convert to fraction form
    27,649.63/38,144.45 = 17,572.67/x
  3. Step 3: Cross multiply
    27,649.63x = 38,144.45 × 17,572.67
  4. Step 4: Simplify right side
    27,649.63x = 670,299,553.60
  5. Step 5: Solve for x
    x = 670,299,553.60/27,649.63
  6. Step 6: Final answer
    x = 24,242.63

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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.