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Finding the Fourth Proportional to 71,047.01, 106,469.06 and 52,179.08

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Solution

The fourth proportional to 71,047.01, 106,469.06 and 52,179.08 is: 78,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.01 : 106,469.06 = 52,179.08 : x
  2. Step 2: Convert to fraction form
    71,047.01/106,469.06 = 52,179.08/x
  3. Step 3: Cross multiply
    71,047.01x = 106,469.06 × 52,179.08
  4. Step 4: Simplify right side
    71,047.01x = 5,555,456,806.02
  5. Step 5: Solve for x
    x = 5,555,456,806.02/71,047.01
  6. Step 6: Final answer
    x = 78,194.10

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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.