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Finding the Fourth Proportional to 30,694.60, 46,041.49 and 16,743.16

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Solution

The fourth proportional to 30,694.60, 46,041.49 and 16,743.16 is: 25,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.60 : 46,041.49 = 16,743.16 : x
  2. Step 2: Convert to fraction form
    30,694.60/46,041.49 = 16,743.16/x
  3. Step 3: Cross multiply
    30,694.60x = 46,041.49 × 16,743.16
  4. Step 4: Simplify right side
    30,694.60x = 770,880,033.71
  5. Step 5: Solve for x
    x = 770,880,033.71/30,694.60
  6. Step 6: Final answer
    x = 25,114.52

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Why These Related Problems?

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