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Finding the Fourth Proportional to 29,981.68, 44,972.64 and 7,793.48

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Solution

The fourth proportional to 29,981.68, 44,972.64 and 7,793.48 is: 11,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981.68 : 44,972.64 = 7,793.48 : x
  2. Step 2: Convert to fraction form
    29,981.68/44,972.64 = 7,793.48/x
  3. Step 3: Cross multiply
    29,981.68x = 44,972.64 × 7,793.48
  4. Step 4: Simplify right side
    29,981.68x = 350,493,370.39
  5. Step 5: Solve for x
    x = 350,493,370.39/29,981.68
  6. Step 6: Final answer
    x = 11,690.25

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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.