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Finding the Fourth Proportional to 24,032, 36,048 and 7,616

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Solution

The fourth proportional to 24,032, 36,048 and 7,616 is: 11,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032 : 36,048 = 7,616 : x
  2. Step 2: Convert to fraction form
    24,032/36,048 = 7,616/x
  3. Step 3: Cross multiply
    24,032x = 36,048 × 7,616
  4. Step 4: Simplify right side
    24,032x = 274,541,568
  5. Step 5: Solve for x
    x = 274,541,568/24,032
  6. Step 6: Final answer
    x = 11,424

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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.