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Finding the Fourth Proportional to 51,007.70, 71,469.10 and 51,007.70

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Solution

The fourth proportional to 51,007.70, 71,469.10 and 51,007.70 is: 71,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.70 : 71,469.10 = 51,007.70 : x
  2. Step 2: Convert to fraction form
    51,007.70/71,469.10 = 51,007.70/x
  3. Step 3: Cross multiply
    51,007.70x = 71,469.10 × 51,007.70
  4. Step 4: Simplify right side
    51,007.70x = 3,645,474,412.07
  5. Step 5: Solve for x
    x = 3,645,474,412.07/51,007.70
  6. Step 6: Final answer
    x = 71,469.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.