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Finding the Fourth Proportional to 30,976.33, 42,747.54 and 16,829.17

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Solution

The fourth proportional to 30,976.33, 42,747.54 and 16,829.17 is: 23,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.33 : 42,747.54 = 16,829.17 : x
  2. Step 2: Convert to fraction form
    30,976.33/42,747.54 = 16,829.17/x
  3. Step 3: Cross multiply
    30,976.33x = 42,747.54 × 16,829.17
  4. Step 4: Simplify right side
    30,976.33x = 719,405,617.74
  5. Step 5: Solve for x
    x = 719,405,617.74/30,976.33
  6. Step 6: Final answer
    x = 23,224.37

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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.