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Finding the Fourth Proportional to 27,649.44, 38,156.25 and 15,074.19

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Solution

The fourth proportional to 27,649.44, 38,156.25 and 15,074.19 is: 20,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.44 : 38,156.25 = 15,074.19 : x
  2. Step 2: Convert to fraction form
    27,649.44/38,156.25 = 15,074.19/x
  3. Step 3: Cross multiply
    27,649.44x = 38,156.25 × 15,074.19
  4. Step 4: Simplify right side
    27,649.44x = 575,174,562.19
  5. Step 5: Solve for x
    x = 575,174,562.19/27,649.44
  6. Step 6: Final answer
    x = 20,802.39

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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.