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Finding the Fourth Proportional to 50,576.64, 69,788.16 and 31,706.88

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Solution

The fourth proportional to 50,576.64, 69,788.16 and 31,706.88 is: 43,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576.64 : 69,788.16 = 31,706.88 : x
  2. Step 2: Convert to fraction form
    50,576.64/69,788.16 = 31,706.88/x
  3. Step 3: Cross multiply
    50,576.64x = 69,788.16 × 31,706.88
  4. Step 4: Simplify right side
    50,576.64x = 2,212,764,814.54
  5. Step 5: Solve for x
    x = 2,212,764,814.54/50,576.64
  6. Step 6: Final answer
    x = 43,750.73

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Why These Related Problems?

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