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Finding the Fourth Proportional to 50,751, 76,133.76 and 15,693.36

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Solution

The fourth proportional to 50,751, 76,133.76 and 15,693.36 is: 23,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,751 : 76,133.76 = 15,693.36 : x
  2. Step 2: Convert to fraction form
    50,751/76,133.76 = 15,693.36/x
  3. Step 3: Cross multiply
    50,751x = 76,133.76 × 15,693.36
  4. Step 4: Simplify right side
    50,751x = 1,194,794,503.83
  5. Step 5: Solve for x
    x = 1,194,794,503.83/50,751
  6. Step 6: Final answer
    x = 23,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.