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Finding the Fourth Proportional to 30,821.62, 46,223.12 and 16,022.44

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Solution

The fourth proportional to 30,821.62, 46,223.12 and 16,022.44 is: 24,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.62 : 46,223.12 = 16,022.44 : x
  2. Step 2: Convert to fraction form
    30,821.62/46,223.12 = 16,022.44/x
  3. Step 3: Cross multiply
    30,821.62x = 46,223.12 × 16,022.44
  4. Step 4: Simplify right side
    30,821.62x = 740,607,166.81
  5. Step 5: Solve for x
    x = 740,607,166.81/30,821.62
  6. Step 6: Final answer
    x = 24,028.82

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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.