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Finding the Fourth Proportional to 77,072, 115,608.01 and 21,668

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Solution

The fourth proportional to 77,072, 115,608.01 and 21,668 is: 32,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072 : 115,608.01 = 21,668 : x
  2. Step 2: Convert to fraction form
    77,072/115,608.01 = 21,668/x
  3. Step 3: Cross multiply
    77,072x = 115,608.01 × 21,668
  4. Step 4: Simplify right side
    77,072x = 2,504,994,360.68
  5. Step 5: Solve for x
    x = 2,504,994,360.68/77,072
  6. Step 6: Final answer
    x = 32,502.00

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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.