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Finding the Fourth Proportional to 30,819.03, 42,602.00 and 27,494.79

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Solution

The fourth proportional to 30,819.03, 42,602.00 and 27,494.79 is: 38,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.03 : 42,602.00 = 27,494.79 : x
  2. Step 2: Convert to fraction form
    30,819.03/42,602.00 = 27,494.79/x
  3. Step 3: Cross multiply
    30,819.03x = 42,602.00 × 27,494.79
  4. Step 4: Simplify right side
    30,819.03x = 1,171,332,906.11
  5. Step 5: Solve for x
    x = 1,171,332,906.11/30,819.03
  6. Step 6: Final answer
    x = 38,006.81

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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.