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Finding the Fourth Proportional to 30,550.32, 45,787.21 and 16,509.78

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Solution

The fourth proportional to 30,550.32, 45,787.21 and 16,509.78 is: 24,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,550.32 : 45,787.21 = 16,509.78 : x
  2. Step 2: Convert to fraction form
    30,550.32/45,787.21 = 16,509.78/x
  3. Step 3: Cross multiply
    30,550.32x = 45,787.21 × 16,509.78
  4. Step 4: Simplify right side
    30,550.32x = 755,936,722.64
  5. Step 5: Solve for x
    x = 755,936,722.64/30,550.32
  6. Step 6: Final answer
    x = 24,743.99

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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.