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Finding the Fourth Proportional to 40,698, 61,324.32 and 33,464.50

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Solution

The fourth proportional to 40,698, 61,324.32 and 33,464.50 is: 50,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698 : 61,324.32 = 33,464.50 : x
  2. Step 2: Convert to fraction form
    40,698/61,324.32 = 33,464.50/x
  3. Step 3: Cross multiply
    40,698x = 61,324.32 × 33,464.50
  4. Step 4: Simplify right side
    40,698x = 2,052,187,706.64
  5. Step 5: Solve for x
    x = 2,052,187,706.64/40,698
  6. Step 6: Final answer
    x = 50,424.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.