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Finding the Fourth Proportional to 109,891.27, 164,827.79 and 35,008.39

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Solution

The fourth proportional to 109,891.27, 164,827.79 and 35,008.39 is: 52,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,891.27 : 164,827.79 = 35,008.39 : x
  2. Step 2: Convert to fraction form
    109,891.27/164,827.79 = 35,008.39/x
  3. Step 3: Cross multiply
    109,891.27x = 164,827.79 × 35,008.39
  4. Step 4: Simplify right side
    109,891.27x = 5,770,355,555.16
  5. Step 5: Solve for x
    x = 5,770,355,555.16/109,891.27
  6. Step 6: Final answer
    x = 52,509.68

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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.