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Finding the Fourth Proportional to 29,981.82, 44,972.76 and 7,793.34

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Solution

The fourth proportional to 29,981.82, 44,972.76 and 7,793.34 is: 11,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981.82 : 44,972.76 = 7,793.34 : x
  2. Step 2: Convert to fraction form
    29,981.82/44,972.76 = 7,793.34/x
  3. Step 3: Cross multiply
    29,981.82x = 44,972.76 × 7,793.34
  4. Step 4: Simplify right side
    29,981.82x = 350,488,009.42
  5. Step 5: Solve for x
    x = 350,488,009.42/29,981.82
  6. Step 6: Final answer
    x = 11,690.02

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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.