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Finding the Fourth Proportional to 30,976, 42,745.28 and 16,828.48

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Solution

The fourth proportional to 30,976, 42,745.28 and 16,828.48 is: 23,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976 : 42,745.28 = 16,828.48 : x
  2. Step 2: Convert to fraction form
    30,976/42,745.28 = 16,828.48/x
  3. Step 3: Cross multiply
    30,976x = 42,745.28 × 16,828.48
  4. Step 4: Simplify right side
    30,976x = 719,338,089.57
  5. Step 5: Solve for x
    x = 719,338,089.57/30,976
  6. Step 6: Final answer
    x = 23,222.43

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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.