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Finding the Fourth Proportional to 27,649.38, 38,155.95 and 15,074.22

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Solution

The fourth proportional to 27,649.38, 38,155.95 and 15,074.22 is: 20,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.38 : 38,155.95 = 15,074.22 : x
  2. Step 2: Convert to fraction form
    27,649.38/38,155.95 = 15,074.22/x
  3. Step 3: Cross multiply
    27,649.38x = 38,155.95 × 15,074.22
  4. Step 4: Simplify right side
    27,649.38x = 575,171,184.61
  5. Step 5: Solve for x
    x = 575,171,184.61/27,649.38
  6. Step 6: Final answer
    x = 20,802.32

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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.