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Finding the Fourth Proportional to 49,903.69, 74,855.32 and 20,314.51

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Solution

The fourth proportional to 49,903.69, 74,855.32 and 20,314.51 is: 30,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903.69 : 74,855.32 = 20,314.51 : x
  2. Step 2: Convert to fraction form
    49,903.69/74,855.32 = 20,314.51/x
  3. Step 3: Cross multiply
    49,903.69x = 74,855.32 × 20,314.51
  4. Step 4: Simplify right side
    49,903.69x = 1,520,649,146.69
  5. Step 5: Solve for x
    x = 1,520,649,146.69/49,903.69
  6. Step 6: Final answer
    x = 30,471.68

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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.