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Finding the Fourth Proportional to 50,784, 76,176 and 21,600

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Solution

The fourth proportional to 50,784, 76,176 and 21,600 is: 32,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784 : 76,176 = 21,600 : x
  2. Step 2: Convert to fraction form
    50,784/76,176 = 21,600/x
  3. Step 3: Cross multiply
    50,784x = 76,176 × 21,600
  4. Step 4: Simplify right side
    50,784x = 1,645,401,600
  5. Step 5: Solve for x
    x = 1,645,401,600/50,784
  6. Step 6: Final answer
    x = 32,400

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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.