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Finding the Fourth Proportional to 50,640.46, 75,824.00 and 33,964.58

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Solution

The fourth proportional to 50,640.46, 75,824.00 and 33,964.58 is: 50,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640.46 : 75,824.00 = 33,964.58 : x
  2. Step 2: Convert to fraction form
    50,640.46/75,824.00 = 33,964.58/x
  3. Step 3: Cross multiply
    50,640.46x = 75,824.00 × 33,964.58
  4. Step 4: Simplify right side
    50,640.46x = 2,575,330,461.02
  5. Step 5: Solve for x
    x = 2,575,330,461.02/50,640.46
  6. Step 6: Final answer
    x = 50,855.20

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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.