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Finding the Fourth Proportional to 50,107.88, 75,161.82 and 13,169

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Solution

The fourth proportional to 50,107.88, 75,161.82 and 13,169 is: 19,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.88 : 75,161.82 = 13,169 : x
  2. Step 2: Convert to fraction form
    50,107.88/75,161.82 = 13,169/x
  3. Step 3: Cross multiply
    50,107.88x = 75,161.82 × 13,169
  4. Step 4: Simplify right side
    50,107.88x = 989,806,007.58
  5. Step 5: Solve for x
    x = 989,806,007.58/50,107.88
  6. Step 6: Final answer
    x = 19,753.50

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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.