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Finding the Fourth Proportional to 30,812.43, 46,206.50 and 16,784.04

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Solution

The fourth proportional to 30,812.43, 46,206.50 and 16,784.04 is: 25,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.43 : 46,206.50 = 16,784.04 : x
  2. Step 2: Convert to fraction form
    30,812.43/46,206.50 = 16,784.04/x
  3. Step 3: Cross multiply
    30,812.43x = 46,206.50 × 16,784.04
  4. Step 4: Simplify right side
    30,812.43x = 775,531,660.34
  5. Step 5: Solve for x
    x = 775,531,660.34/30,812.43
  6. Step 6: Final answer
    x = 25,169.44

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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.