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Finding the Fourth Proportional to 51,226.94, 70,690.46 and 28,869.50

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Solution

The fourth proportional to 51,226.94, 70,690.46 and 28,869.50 is: 39,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,226.94 : 70,690.46 = 28,869.50 : x
  2. Step 2: Convert to fraction form
    51,226.94/70,690.46 = 28,869.50/x
  3. Step 3: Cross multiply
    51,226.94x = 70,690.46 × 28,869.50
  4. Step 4: Simplify right side
    51,226.94x = 2,040,798,234.97
  5. Step 5: Solve for x
    x = 2,040,798,234.97/51,226.94
  6. Step 6: Final answer
    x = 39,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.