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Finding the Fourth Proportional to 51,228, 76,847.04 and 14,292

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Solution

The fourth proportional to 51,228, 76,847.04 and 14,292 is: 21,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228 : 76,847.04 = 14,292 : x
  2. Step 2: Convert to fraction form
    51,228/76,847.04 = 14,292/x
  3. Step 3: Cross multiply
    51,228x = 76,847.04 × 14,292
  4. Step 4: Simplify right side
    51,228x = 1,098,297,895.68
  5. Step 5: Solve for x
    x = 1,098,297,895.68/51,228
  6. Step 6: Final answer
    x = 21,439.41

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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.