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Finding the Fourth Proportional to 109,894.62, 164,841.93 and 39,757.62

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Solution

The fourth proportional to 109,894.62, 164,841.93 and 39,757.62 is: 59,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,894.62 : 164,841.93 = 39,757.62 : x
  2. Step 2: Convert to fraction form
    109,894.62/164,841.93 = 39,757.62/x
  3. Step 3: Cross multiply
    109,894.62x = 164,841.93 × 39,757.62
  4. Step 4: Simplify right side
    109,894.62x = 6,553,722,813.01
  5. Step 5: Solve for x
    x = 6,553,722,813.01/109,894.62
  6. Step 6: Final answer
    x = 59,636.43

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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.