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Finding the Fourth Proportional to 36,048, 54,072 and 11,424

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Solution

The fourth proportional to 36,048, 54,072 and 11,424 is: 17,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,048 : 54,072 = 11,424 : x
  2. Step 2: Convert to fraction form
    36,048/54,072 = 11,424/x
  3. Step 3: Cross multiply
    36,048x = 54,072 × 11,424
  4. Step 4: Simplify right side
    36,048x = 617,718,528
  5. Step 5: Solve for x
    x = 617,718,528/36,048
  6. Step 6: Final answer
    x = 17,136

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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.