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Finding the Fourth Proportional to 69,821.49, 104,650.22 and 32,302.31

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Solution

The fourth proportional to 69,821.49, 104,650.22 and 32,302.31 is: 48,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,821.49 : 104,650.22 = 32,302.31 : x
  2. Step 2: Convert to fraction form
    69,821.49/104,650.22 = 32,302.31/x
  3. Step 3: Cross multiply
    69,821.49x = 104,650.22 × 32,302.31
  4. Step 4: Simplify right side
    69,821.49x = 3,380,443,223.81
  5. Step 5: Solve for x
    x = 3,380,443,223.81/69,821.49
  6. Step 6: Final answer
    x = 48,415.51

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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.