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Finding the Fourth Proportional to 36,981.50, 55,471.70 and 17,249

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Solution

The fourth proportional to 36,981.50, 55,471.70 and 17,249 is: 25,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,981.50 : 55,471.70 = 17,249 : x
  2. Step 2: Convert to fraction form
    36,981.50/55,471.70 = 17,249/x
  3. Step 3: Cross multiply
    36,981.50x = 55,471.70 × 17,249
  4. Step 4: Simplify right side
    36,981.50x = 956,831,353.30
  5. Step 5: Solve for x
    x = 956,831,353.30/36,981.50
  6. Step 6: Final answer
    x = 25,873.24

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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.