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Finding the Fourth Proportional to 50,914.64, 70,306.84 and 31,827.04

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Solution

The fourth proportional to 50,914.64, 70,306.84 and 31,827.04 is: 43,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914.64 : 70,306.84 = 31,827.04 : x
  2. Step 2: Convert to fraction form
    50,914.64/70,306.84 = 31,827.04/x
  3. Step 3: Cross multiply
    50,914.64x = 70,306.84 × 31,827.04
  4. Step 4: Simplify right side
    50,914.64x = 2,237,658,472.97
  5. Step 5: Solve for x
    x = 2,237,658,472.97/50,914.64
  6. Step 6: Final answer
    x = 43,949.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.