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Finding the Fourth Proportional to 43,208, 64,812 and 14,024

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Solution

The fourth proportional to 43,208, 64,812 and 14,024 is: 21,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,208 : 64,812 = 14,024 : x
  2. Step 2: Convert to fraction form
    43,208/64,812 = 14,024/x
  3. Step 3: Cross multiply
    43,208x = 64,812 × 14,024
  4. Step 4: Simplify right side
    43,208x = 908,923,488
  5. Step 5: Solve for x
    x = 908,923,488/43,208
  6. Step 6: Final answer
    x = 21,036

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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.