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Finding the Fourth Proportional to 27,634.74, 38,048.51 and 25,109.30

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Solution

The fourth proportional to 27,634.74, 38,048.51 and 25,109.30 is: 34,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.74 : 38,048.51 = 25,109.30 : x
  2. Step 2: Convert to fraction form
    27,634.74/38,048.51 = 25,109.30/x
  3. Step 3: Cross multiply
    27,634.74x = 38,048.51 × 25,109.30
  4. Step 4: Simplify right side
    27,634.74x = 955,371,136.35
  5. Step 5: Solve for x
    x = 955,371,136.35/27,634.74
  6. Step 6: Final answer
    x = 34,571.38

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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.