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Finding the Fourth Proportional to 50,052, 75,078 and 13,116

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Solution

The fourth proportional to 50,052, 75,078 and 13,116 is: 19,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,052 : 75,078 = 13,116 : x
  2. Step 2: Convert to fraction form
    50,052/75,078 = 13,116/x
  3. Step 3: Cross multiply
    50,052x = 75,078 × 13,116
  4. Step 4: Simplify right side
    50,052x = 984,723,048
  5. Step 5: Solve for x
    x = 984,723,048/50,052
  6. Step 6: Final answer
    x = 19,674

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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.