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Finding the Fourth Proportional to 50,834.97, 76,262.05 and 19,254.49

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Solution

The fourth proportional to 50,834.97, 76,262.05 and 19,254.49 is: 28,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834.97 : 76,262.05 = 19,254.49 : x
  2. Step 2: Convert to fraction form
    50,834.97/76,262.05 = 19,254.49/x
  3. Step 3: Cross multiply
    50,834.97x = 76,262.05 × 19,254.49
  4. Step 4: Simplify right side
    50,834.97x = 1,468,386,879.10
  5. Step 5: Solve for x
    x = 1,468,386,879.10/50,834.97
  6. Step 6: Final answer
    x = 28,885.37

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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.