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Finding the Fourth Proportional to 76,243, 105,251.82 and 50,792

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Solution

The fourth proportional to 76,243, 105,251.82 and 50,792 is: 70,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,243 : 105,251.82 = 50,792 : x
  2. Step 2: Convert to fraction form
    76,243/105,251.82 = 50,792/x
  3. Step 3: Cross multiply
    76,243x = 105,251.82 × 50,792
  4. Step 4: Simplify right side
    76,243x = 5,345,950,441.44
  5. Step 5: Solve for x
    x = 5,345,950,441.44/76,243
  6. Step 6: Final answer
    x = 70,117.26

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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.