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Finding the Fourth Proportional to 51,963.86, 71,662.30 and 34,052.36

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Solution

The fourth proportional to 51,963.86, 71,662.30 and 34,052.36 is: 46,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.86 : 71,662.30 = 34,052.36 : x
  2. Step 2: Convert to fraction form
    51,963.86/71,662.30 = 34,052.36/x
  3. Step 3: Cross multiply
    51,963.86x = 71,662.30 × 34,052.36
  4. Step 4: Simplify right side
    51,963.86x = 2,440,269,994.59
  5. Step 5: Solve for x
    x = 2,440,269,994.59/51,963.86
  6. Step 6: Final answer
    x = 46,960.91

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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.