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Finding the Fourth Proportional to 33,246, 49,869 and 14,778

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Solution

The fourth proportional to 33,246, 49,869 and 14,778 is: 22,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246 : 49,869 = 14,778 : x
  2. Step 2: Convert to fraction form
    33,246/49,869 = 14,778/x
  3. Step 3: Cross multiply
    33,246x = 49,869 × 14,778
  4. Step 4: Simplify right side
    33,246x = 736,964,082
  5. Step 5: Solve for x
    x = 736,964,082/33,246
  6. Step 6: Final answer
    x = 22,167

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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.