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Finding the Fourth Proportional to 55,734, 83,601 and 18,798

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Solution

The fourth proportional to 55,734, 83,601 and 18,798 is: 28,197

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734 : 83,601 = 18,798 : x
  2. Step 2: Convert to fraction form
    55,734/83,601 = 18,798/x
  3. Step 3: Cross multiply
    55,734x = 83,601 × 18,798
  4. Step 4: Simplify right side
    55,734x = 1,571,531,598
  5. Step 5: Solve for x
    x = 1,571,531,598/55,734
  6. Step 6: Final answer
    x = 28,197

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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.