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Finding the Fourth Proportional to 46,994, 70,491 and 14,162

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Solution

The fourth proportional to 46,994, 70,491 and 14,162 is: 21,243

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,994 : 70,491 = 14,162 : x
  2. Step 2: Convert to fraction form
    46,994/70,491 = 14,162/x
  3. Step 3: Cross multiply
    46,994x = 70,491 × 14,162
  4. Step 4: Simplify right side
    46,994x = 998,293,542
  5. Step 5: Solve for x
    x = 998,293,542/46,994
  6. Step 6: Final answer
    x = 21,243

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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.