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Finding the Fourth Proportional to 51,855.10, 77,794.98 and 16,794.70

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Solution

The fourth proportional to 51,855.10, 77,794.98 and 16,794.70 is: 25,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.10 : 77,794.98 = 16,794.70 : x
  2. Step 2: Convert to fraction form
    51,855.10/77,794.98 = 16,794.70/x
  3. Step 3: Cross multiply
    51,855.10x = 77,794.98 × 16,794.70
  4. Step 4: Simplify right side
    51,855.10x = 1,306,543,350.61
  5. Step 5: Solve for x
    x = 1,306,543,350.61/51,855.10
  6. Step 6: Final answer
    x = 25,196.04

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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.