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Finding the Fourth Proportional to 30,378.31, 41,921.92 and 16,949.58

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Solution

The fourth proportional to 30,378.31, 41,921.92 and 16,949.58 is: 23,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.31 : 41,921.92 = 16,949.58 : x
  2. Step 2: Convert to fraction form
    30,378.31/41,921.92 = 16,949.58/x
  3. Step 3: Cross multiply
    30,378.31x = 41,921.92 × 16,949.58
  4. Step 4: Simplify right side
    30,378.31x = 710,558,936.79
  5. Step 5: Solve for x
    x = 710,558,936.79/30,378.31
  6. Step 6: Final answer
    x = 23,390.34

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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.