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Finding the Fourth Proportional to 30,880.80, 46,310.40 and 16,084.80

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Solution

The fourth proportional to 30,880.80, 46,310.40 and 16,084.80 is: 24,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.80 : 46,310.40 = 16,084.80 : x
  2. Step 2: Convert to fraction form
    30,880.80/46,310.40 = 16,084.80/x
  3. Step 3: Cross multiply
    30,880.80x = 46,310.40 × 16,084.80
  4. Step 4: Simplify right side
    30,880.80x = 744,893,521.92
  5. Step 5: Solve for x
    x = 744,893,521.92/30,880.80
  6. Step 6: Final answer
    x = 24,121.57

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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.