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Finding the Fourth Proportional to 75,166.62, 112,749.87 and 30,793.47

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Solution

The fourth proportional to 75,166.62, 112,749.87 and 30,793.47 is: 46,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166.62 : 112,749.87 = 30,793.47 : x
  2. Step 2: Convert to fraction form
    75,166.62/112,749.87 = 30,793.47/x
  3. Step 3: Cross multiply
    75,166.62x = 112,749.87 × 30,793.47
  4. Step 4: Simplify right side
    75,166.62x = 3,471,959,739.35
  5. Step 5: Solve for x
    x = 3,471,959,739.35/75,166.62
  6. Step 6: Final answer
    x = 46,190.18

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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.