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Finding the Fourth Proportional to 50,641.18, 75,954.74 and 13,198.22

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Solution

The fourth proportional to 50,641.18, 75,954.74 and 13,198.22 is: 19,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.18 : 75,954.74 = 13,198.22 : x
  2. Step 2: Convert to fraction form
    50,641.18/75,954.74 = 13,198.22/x
  3. Step 3: Cross multiply
    50,641.18x = 75,954.74 × 13,198.22
  4. Step 4: Simplify right side
    50,641.18x = 1,002,467,368.56
  5. Step 5: Solve for x
    x = 1,002,467,368.56/50,641.18
  6. Step 6: Final answer
    x = 19,795.50

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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.