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Finding the Fourth Proportional to 27,645, 38,150.10 and 15,069.84

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Solution

The fourth proportional to 27,645, 38,150.10 and 15,069.84 is: 20,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645 : 38,150.10 = 15,069.84 : x
  2. Step 2: Convert to fraction form
    27,645/38,150.10 = 15,069.84/x
  3. Step 3: Cross multiply
    27,645x = 38,150.10 × 15,069.84
  4. Step 4: Simplify right side
    27,645x = 574,915,902.98
  5. Step 5: Solve for x
    x = 574,915,902.98/27,645
  6. Step 6: Final answer
    x = 20,796.38

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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.