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Finding the Fourth Proportional to 30,903.80, 46,344.90 and 16,107.80

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Solution

The fourth proportional to 30,903.80, 46,344.90 and 16,107.80 is: 24,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.80 : 46,344.90 = 16,107.80 : x
  2. Step 2: Convert to fraction form
    30,903.80/46,344.90 = 16,107.80/x
  3. Step 3: Cross multiply
    30,903.80x = 46,344.90 × 16,107.80
  4. Step 4: Simplify right side
    30,903.80x = 746,514,380.22
  5. Step 5: Solve for x
    x = 746,514,380.22/30,903.80
  6. Step 6: Final answer
    x = 24,156.07

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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.