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Finding the Fourth Proportional to 50,552, 75,828 and 13,616

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Solution

The fourth proportional to 50,552, 75,828 and 13,616 is: 20,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,552 : 75,828 = 13,616 : x
  2. Step 2: Convert to fraction form
    50,552/75,828 = 13,616/x
  3. Step 3: Cross multiply
    50,552x = 75,828 × 13,616
  4. Step 4: Simplify right side
    50,552x = 1,032,474,048
  5. Step 5: Solve for x
    x = 1,032,474,048/50,552
  6. Step 6: Final answer
    x = 20,424

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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.