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Finding the Fourth Proportional to 106,216, 159,324 and 32,344

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Solution

The fourth proportional to 106,216, 159,324 and 32,344 is: 48,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,216 : 159,324 = 32,344 : x
  2. Step 2: Convert to fraction form
    106,216/159,324 = 32,344/x
  3. Step 3: Cross multiply
    106,216x = 159,324 × 32,344
  4. Step 4: Simplify right side
    106,216x = 5,153,175,456
  5. Step 5: Solve for x
    x = 5,153,175,456/106,216
  6. Step 6: Final answer
    x = 48,516

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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.