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Finding the Fourth Proportional to 107,021.35, 160,553.94 and 47,863

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Solution

The fourth proportional to 107,021.35, 160,553.94 and 47,863 is: 71,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,021.35 : 160,553.94 = 47,863 : x
  2. Step 2: Convert to fraction form
    107,021.35/160,553.94 = 47,863/x
  3. Step 3: Cross multiply
    107,021.35x = 160,553.94 × 47,863
  4. Step 4: Simplify right side
    107,021.35x = 7,684,593,230.22
  5. Step 5: Solve for x
    x = 7,684,593,230.22/107,021.35
  6. Step 6: Final answer
    x = 71,804.30

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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.