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Finding the Fourth Proportional to 30,380.34, 41,924.82 and 16,950.78

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Solution

The fourth proportional to 30,380.34, 41,924.82 and 16,950.78 is: 23,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.34 : 41,924.82 = 16,950.78 : x
  2. Step 2: Convert to fraction form
    30,380.34/41,924.82 = 16,950.78/x
  3. Step 3: Cross multiply
    30,380.34x = 41,924.82 × 16,950.78
  4. Step 4: Simplify right side
    30,380.34x = 710,658,400.36
  5. Step 5: Solve for x
    x = 710,658,400.36/30,380.34
  6. Step 6: Final answer
    x = 23,392.05

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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.