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Finding the Fourth Proportional to 33,588, 50,382 and 8,964

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Solution

The fourth proportional to 33,588, 50,382 and 8,964 is: 13,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588 : 50,382 = 8,964 : x
  2. Step 2: Convert to fraction form
    33,588/50,382 = 8,964/x
  3. Step 3: Cross multiply
    33,588x = 50,382 × 8,964
  4. Step 4: Simplify right side
    33,588x = 451,624,248
  5. Step 5: Solve for x
    x = 451,624,248/33,588
  6. Step 6: Final answer
    x = 13,446

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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.