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Finding the Fourth Proportional to 36,628.03, 54,942.05 and 13,249

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Solution

The fourth proportional to 36,628.03, 54,942.05 and 13,249 is: 19,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,628.03 : 54,942.05 = 13,249 : x
  2. Step 2: Convert to fraction form
    36,628.03/54,942.05 = 13,249/x
  3. Step 3: Cross multiply
    36,628.03x = 54,942.05 × 13,249
  4. Step 4: Simplify right side
    36,628.03x = 727,927,220.45
  5. Step 5: Solve for x
    x = 727,927,220.45/36,628.03
  6. Step 6: Final answer
    x = 19,873.50

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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.