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Finding the Fourth Proportional to 47,503.36, 71,310.22 and 27,796.04

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Solution

The fourth proportional to 47,503.36, 71,310.22 and 27,796.04 is: 41,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,503.36 : 71,310.22 = 27,796.04 : x
  2. Step 2: Convert to fraction form
    47,503.36/71,310.22 = 27,796.04/x
  3. Step 3: Cross multiply
    47,503.36x = 71,310.22 × 27,796.04
  4. Step 4: Simplify right side
    47,503.36x = 1,982,141,727.53
  5. Step 5: Solve for x
    x = 1,982,141,727.53/47,503.36
  6. Step 6: Final answer
    x = 41,726.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.