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Finding the Fourth Proportional to 114,374, 171,573 and 31,268

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Solution

The fourth proportional to 114,374, 171,573 and 31,268 is: 46,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,374 : 171,573 = 31,268 : x
  2. Step 2: Convert to fraction form
    114,374/171,573 = 31,268/x
  3. Step 3: Cross multiply
    114,374x = 171,573 × 31,268
  4. Step 4: Simplify right side
    114,374x = 5,364,744,564
  5. Step 5: Solve for x
    x = 5,364,744,564/114,374
  6. Step 6: Final answer
    x = 46,905.28

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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.