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Finding the Fourth Proportional to 45,819.48, 63,230.78 and 27,914.47

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Solution

The fourth proportional to 45,819.48, 63,230.78 and 27,914.47 is: 38,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,819.48 : 63,230.78 = 27,914.47 : x
  2. Step 2: Convert to fraction form
    45,819.48/63,230.78 = 27,914.47/x
  3. Step 3: Cross multiply
    45,819.48x = 63,230.78 × 27,914.47
  4. Step 4: Simplify right side
    45,819.48x = 1,765,053,711.39
  5. Step 5: Solve for x
    x = 1,765,053,711.39/45,819.48
  6. Step 6: Final answer
    x = 38,521.91

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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.