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Finding the Fourth Proportional to 30,811.68, 46,205.37 and 16,783.29

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Solution

The fourth proportional to 30,811.68, 46,205.37 and 16,783.29 is: 25,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.68 : 46,205.37 = 16,783.29 : x
  2. Step 2: Convert to fraction form
    30,811.68/46,205.37 = 16,783.29/x
  3. Step 3: Cross multiply
    30,811.68x = 46,205.37 × 16,783.29
  4. Step 4: Simplify right side
    30,811.68x = 775,478,124.27
  5. Step 5: Solve for x
    x = 775,478,124.27/30,811.68
  6. Step 6: Final answer
    x = 25,168.32

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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.