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Finding the Fourth Proportional to 29,793.82, 44,690.69 and 7,607.20

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Solution

The fourth proportional to 29,793.82, 44,690.69 and 7,607.20 is: 11,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,793.82 : 44,690.69 = 7,607.20 : x
  2. Step 2: Convert to fraction form
    29,793.82/44,690.69 = 7,607.20/x
  3. Step 3: Cross multiply
    29,793.82x = 44,690.69 × 7,607.20
  4. Step 4: Simplify right side
    29,793.82x = 339,971,016.97
  5. Step 5: Solve for x
    x = 339,971,016.97/29,793.82
  6. Step 6: Final answer
    x = 11,410.79

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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.