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Finding the Fourth Proportional to 49,646.96, 74,523.50 and 20,084.12

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Solution

The fourth proportional to 49,646.96, 74,523.50 and 20,084.12 is: 30,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,646.96 : 74,523.50 = 20,084.12 : x
  2. Step 2: Convert to fraction form
    49,646.96/74,523.50 = 20,084.12/x
  3. Step 3: Cross multiply
    49,646.96x = 74,523.50 × 20,084.12
  4. Step 4: Simplify right side
    49,646.96x = 1,496,738,816.40
  5. Step 5: Solve for x
    x = 1,496,738,816.40/49,646.96
  6. Step 6: Final answer
    x = 30,147.64

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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.