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Finding the Fourth Proportional to 119,916, 179,874 and 32,364

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Solution

The fourth proportional to 119,916, 179,874 and 32,364 is: 48,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,916 : 179,874 = 32,364 : x
  2. Step 2: Convert to fraction form
    119,916/179,874 = 32,364/x
  3. Step 3: Cross multiply
    119,916x = 179,874 × 32,364
  4. Step 4: Simplify right side
    119,916x = 5,821,442,136
  5. Step 5: Solve for x
    x = 5,821,442,136/119,916
  6. Step 6: Final answer
    x = 48,546

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.