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Finding the Fourth Proportional to 69,846.84, 104,780.07 and 22,446.05

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Solution

The fourth proportional to 69,846.84, 104,780.07 and 22,446.05 is: 33,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,846.84 : 104,780.07 = 22,446.05 : x
  2. Step 2: Convert to fraction form
    69,846.84/104,780.07 = 22,446.05/x
  3. Step 3: Cross multiply
    69,846.84x = 104,780.07 × 22,446.05
  4. Step 4: Simplify right side
    69,846.84x = 2,351,898,166.32
  5. Step 5: Solve for x
    x = 2,351,898,166.32/69,846.84
  6. Step 6: Final answer
    x = 33,672.22

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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.