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Finding the Fourth Proportional to 35,832, 53,748 and 11,208

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Solution

The fourth proportional to 35,832, 53,748 and 11,208 is: 16,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832 : 53,748 = 11,208 : x
  2. Step 2: Convert to fraction form
    35,832/53,748 = 11,208/x
  3. Step 3: Cross multiply
    35,832x = 53,748 × 11,208
  4. Step 4: Simplify right side
    35,832x = 602,407,584
  5. Step 5: Solve for x
    x = 602,407,584/35,832
  6. Step 6: Final answer
    x = 16,812

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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.