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Finding the Fourth Proportional to 33,426, 50,139 and 10,052.46

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Solution

The fourth proportional to 33,426, 50,139 and 10,052.46 is: 15,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,426 : 50,139 = 10,052.46 : x
  2. Step 2: Convert to fraction form
    33,426/50,139 = 10,052.46/x
  3. Step 3: Cross multiply
    33,426x = 50,139 × 10,052.46
  4. Step 4: Simplify right side
    33,426x = 504,020,291.94
  5. Step 5: Solve for x
    x = 504,020,291.94/33,426
  6. Step 6: Final answer
    x = 15,078.69

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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.