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Finding the Fourth Proportional to 70,194.05, 105,296.60 and 23,447.09

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Solution

The fourth proportional to 70,194.05, 105,296.60 and 23,447.09 is: 35,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,194.05 : 105,296.60 = 23,447.09 : x
  2. Step 2: Convert to fraction form
    70,194.05/105,296.60 = 23,447.09/x
  3. Step 3: Cross multiply
    70,194.05x = 105,296.60 × 23,447.09
  4. Step 4: Simplify right side
    70,194.05x = 2,468,898,739.66
  5. Step 5: Solve for x
    x = 2,468,898,739.66/70,194.05
  6. Step 6: Final answer
    x = 35,172.48

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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.