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Finding the Fourth Proportional to 30,184.74, 45,321.54 and 16,883.80

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Solution

The fourth proportional to 30,184.74, 45,321.54 and 16,883.80 is: 25,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.74 : 45,321.54 = 16,883.80 : x
  2. Step 2: Convert to fraction form
    30,184.74/45,321.54 = 16,883.80/x
  3. Step 3: Cross multiply
    30,184.74x = 45,321.54 × 16,883.80
  4. Step 4: Simplify right side
    30,184.74x = 765,199,817.05
  5. Step 5: Solve for x
    x = 765,199,817.05/30,184.74
  6. Step 6: Final answer
    x = 25,350.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.