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Finding the Fourth Proportional to 70,198, 96,873.06 and 38,367.12

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Solution

The fourth proportional to 70,198, 96,873.06 and 38,367.12 is: 52,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,198 : 96,873.06 = 38,367.12 : x
  2. Step 2: Convert to fraction form
    70,198/96,873.06 = 38,367.12/x
  3. Step 3: Cross multiply
    70,198x = 96,873.06 × 38,367.12
  4. Step 4: Simplify right side
    70,198x = 3,716,740,317.79
  5. Step 5: Solve for x
    x = 3,716,740,317.79/70,198
  6. Step 6: Final answer
    x = 52,946.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.