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Finding the Fourth Proportional to 49,829.80, 74,739.84 and 20,249.40

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Solution

The fourth proportional to 49,829.80, 74,739.84 and 20,249.40 is: 30,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,829.80 : 74,739.84 = 20,249.40 : x
  2. Step 2: Convert to fraction form
    49,829.80/74,739.84 = 20,249.40/x
  3. Step 3: Cross multiply
    49,829.80x = 74,739.84 × 20,249.40
  4. Step 4: Simplify right side
    49,829.80x = 1,513,436,916.10
  5. Step 5: Solve for x
    x = 1,513,436,916.10/49,829.80
  6. Step 6: Final answer
    x = 30,372.13

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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.