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Finding the Fourth Proportional to 27,675.84, 38,191.59 and 15,100.59

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Solution

The fourth proportional to 27,675.84, 38,191.59 and 15,100.59 is: 20,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.84 : 38,191.59 = 15,100.59 : x
  2. Step 2: Convert to fraction form
    27,675.84/38,191.59 = 15,100.59/x
  3. Step 3: Cross multiply
    27,675.84x = 38,191.59 × 15,100.59
  4. Step 4: Simplify right side
    27,675.84x = 576,715,542.04
  5. Step 5: Solve for x
    x = 576,715,542.04/27,675.84
  6. Step 6: Final answer
    x = 20,838.23

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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.