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Finding the Fourth Proportional to 30,739.50, 46,108.44 and 8,551.98

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Solution

The fourth proportional to 30,739.50, 46,108.44 and 8,551.98 is: 12,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.50 : 46,108.44 = 8,551.98 : x
  2. Step 2: Convert to fraction form
    30,739.50/46,108.44 = 8,551.98/x
  3. Step 3: Cross multiply
    30,739.50x = 46,108.44 × 8,551.98
  4. Step 4: Simplify right side
    30,739.50x = 394,318,456.71
  5. Step 5: Solve for x
    x = 394,318,456.71/30,739.50
  6. Step 6: Final answer
    x = 12,827.74

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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.