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Finding the Fourth Proportional to 104,930.96, 157,418.93 and 33,857.64

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Solution

The fourth proportional to 104,930.96, 157,418.93 and 33,857.64 is: 50,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,930.96 : 157,418.93 = 33,857.64 : x
  2. Step 2: Convert to fraction form
    104,930.96/157,418.93 = 33,857.64/x
  3. Step 3: Cross multiply
    104,930.96x = 157,418.93 × 33,857.64
  4. Step 4: Simplify right side
    104,930.96x = 5,329,833,545.77
  5. Step 5: Solve for x
    x = 5,329,833,545.77/104,930.96
  6. Step 6: Final answer
    x = 50,793.72

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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.