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Finding the Fourth Proportional to 84,101.08, 126,172.88 and 27,941.48

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Solution

The fourth proportional to 84,101.08, 126,172.88 and 27,941.48 is: 41,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,101.08 : 126,172.88 = 27,941.48 : x
  2. Step 2: Convert to fraction form
    84,101.08/126,172.88 = 27,941.48/x
  3. Step 3: Cross multiply
    84,101.08x = 126,172.88 × 27,941.48
  4. Step 4: Simplify right side
    84,101.08x = 3,525,457,243.87
  5. Step 5: Solve for x
    x = 3,525,457,243.87/84,101.08
  6. Step 6: Final answer
    x = 41,919.29

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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.