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Finding the Fourth Proportional to 101,794.66, 152,702.45 and 35,234.68

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Solution

The fourth proportional to 101,794.66, 152,702.45 and 35,234.68 is: 52,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,794.66 : 152,702.45 = 35,234.68 : x
  2. Step 2: Convert to fraction form
    101,794.66/152,702.45 = 35,234.68/x
  3. Step 3: Cross multiply
    101,794.66x = 152,702.45 × 35,234.68
  4. Step 4: Simplify right side
    101,794.66x = 5,380,421,960.97
  5. Step 5: Solve for x
    x = 5,380,421,960.97/101,794.66
  6. Step 6: Final answer
    x = 52,855.64

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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.