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Finding the Fourth Proportional to 27,649.36, 38,156.34 and 15,074.20

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Solution

The fourth proportional to 27,649.36, 38,156.34 and 15,074.20 is: 20,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.36 : 38,156.34 = 15,074.20 : x
  2. Step 2: Convert to fraction form
    27,649.36/38,156.34 = 15,074.20/x
  3. Step 3: Cross multiply
    27,649.36x = 38,156.34 × 15,074.20
  4. Step 4: Simplify right side
    27,649.36x = 575,176,300.43
  5. Step 5: Solve for x
    x = 575,176,300.43/27,649.36
  6. Step 6: Final answer
    x = 20,802.52

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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.