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Finding the Fourth Proportional to 51,224, 76,848.96 and 14,288

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Solution

The fourth proportional to 51,224, 76,848.96 and 14,288 is: 21,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,224 : 76,848.96 = 14,288 : x
  2. Step 2: Convert to fraction form
    51,224/76,848.96 = 14,288/x
  3. Step 3: Cross multiply
    51,224x = 76,848.96 × 14,288
  4. Step 4: Simplify right side
    51,224x = 1,098,017,940.48
  5. Step 5: Solve for x
    x = 1,098,017,940.48/51,224
  6. Step 6: Final answer
    x = 21,435.61

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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.