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Finding the Fourth Proportional to 49,194, 73,791 and 16,362

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Solution

The fourth proportional to 49,194, 73,791 and 16,362 is: 24,543

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194 : 73,791 = 16,362 : x
  2. Step 2: Convert to fraction form
    49,194/73,791 = 16,362/x
  3. Step 3: Cross multiply
    49,194x = 73,791 × 16,362
  4. Step 4: Simplify right side
    49,194x = 1,207,368,342
  5. Step 5: Solve for x
    x = 1,207,368,342/49,194
  6. Step 6: Final answer
    x = 24,543

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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.