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Finding the Fourth Proportional to 105,516, 158,274 and 31,644

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Solution

The fourth proportional to 105,516, 158,274 and 31,644 is: 47,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,516 : 158,274 = 31,644 : x
  2. Step 2: Convert to fraction form
    105,516/158,274 = 31,644/x
  3. Step 3: Cross multiply
    105,516x = 158,274 × 31,644
  4. Step 4: Simplify right side
    105,516x = 5,008,422,456
  5. Step 5: Solve for x
    x = 5,008,422,456/105,516
  6. Step 6: Final answer
    x = 47,466

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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.