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Finding the Fourth Proportional to 70,904.52, 106,094.22 and 52,198.44

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Solution

The fourth proportional to 70,904.52, 106,094.22 and 52,198.44 is: 78,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,904.52 : 106,094.22 = 52,198.44 : x
  2. Step 2: Convert to fraction form
    70,904.52/106,094.22 = 52,198.44/x
  3. Step 3: Cross multiply
    70,904.52x = 106,094.22 × 52,198.44
  4. Step 4: Simplify right side
    70,904.52x = 5,537,952,777.02
  5. Step 5: Solve for x
    x = 5,537,952,777.02/70,904.52
  6. Step 6: Final answer
    x = 78,104.37

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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.