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Finding the Fourth Proportional to 30,739.41, 46,104.53 and 8,550.50

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Solution

The fourth proportional to 30,739.41, 46,104.53 and 8,550.50 is: 12,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.41 : 46,104.53 = 8,550.50 : x
  2. Step 2: Convert to fraction form
    30,739.41/46,104.53 = 8,550.50/x
  3. Step 3: Cross multiply
    30,739.41x = 46,104.53 × 8,550.50
  4. Step 4: Simplify right side
    30,739.41x = 394,216,510.49
  5. Step 5: Solve for x
    x = 394,216,510.49/30,739.41
  6. Step 6: Final answer
    x = 12,824.47

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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.