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Finding the Fourth Proportional to 30,635.40, 45,928.80 and 16,784.40

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Solution

The fourth proportional to 30,635.40, 45,928.80 and 16,784.40 is: 25,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.40 : 45,928.80 = 16,784.40 : x
  2. Step 2: Convert to fraction form
    30,635.40/45,928.80 = 16,784.40/x
  3. Step 3: Cross multiply
    30,635.40x = 45,928.80 × 16,784.40
  4. Step 4: Simplify right side
    30,635.40x = 770,887,350.72
  5. Step 5: Solve for x
    x = 770,887,350.72/30,635.40
  6. Step 6: Final answer
    x = 25,163.29

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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.