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Finding the Fourth Proportional to 45,998, 69,013.66 and 22,640.84

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Solution

The fourth proportional to 45,998, 69,013.66 and 22,640.84 is: 33,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,998 : 69,013.66 = 22,640.84 : x
  2. Step 2: Convert to fraction form
    45,998/69,013.66 = 22,640.84/x
  3. Step 3: Cross multiply
    45,998x = 69,013.66 × 22,640.84
  4. Step 4: Simplify right side
    45,998x = 1,562,527,233.87
  5. Step 5: Solve for x
    x = 1,562,527,233.87/45,998
  6. Step 6: Final answer
    x = 33,969.46

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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.