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Finding the Fourth Proportional to 30,378.61, 41,922.34 and 16,949.07

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Solution

The fourth proportional to 30,378.61, 41,922.34 and 16,949.07 is: 23,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.61 : 41,922.34 = 16,949.07 : x
  2. Step 2: Convert to fraction form
    30,378.61/41,922.34 = 16,949.07/x
  3. Step 3: Cross multiply
    30,378.61x = 41,922.34 × 16,949.07
  4. Step 4: Simplify right side
    30,378.61x = 710,544,675.22
  5. Step 5: Solve for x
    x = 710,544,675.22/30,378.61
  6. Step 6: Final answer
    x = 23,389.64

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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.