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Finding the Fourth Proportional to 51,007.41, 70,361.78 and 47,399.31

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Solution

The fourth proportional to 51,007.41, 70,361.78 and 47,399.31 is: 65,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.41 : 70,361.78 = 47,399.31 : x
  2. Step 2: Convert to fraction form
    51,007.41/70,361.78 = 47,399.31/x
  3. Step 3: Cross multiply
    51,007.41x = 70,361.78 × 47,399.31
  4. Step 4: Simplify right side
    51,007.41x = 3,335,099,585.38
  5. Step 5: Solve for x
    x = 3,335,099,585.38/51,007.41
  6. Step 6: Final answer
    x = 65,384.61

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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.