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Finding the Fourth Proportional to 30,976.36, 42,745.76 and 16,829.16

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Solution

The fourth proportional to 30,976.36, 42,745.76 and 16,829.16 is: 23,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.36 : 42,745.76 = 16,829.16 : x
  2. Step 2: Convert to fraction form
    30,976.36/42,745.76 = 16,829.16/x
  3. Step 3: Cross multiply
    30,976.36x = 42,745.76 × 16,829.16
  4. Step 4: Simplify right side
    30,976.36x = 719,375,234.36
  5. Step 5: Solve for x
    x = 719,375,234.36/30,976.36
  6. Step 6: Final answer
    x = 23,223.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.