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Finding the Fourth Proportional to 49,125.81, 67,790.66 and 28,989

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Solution

The fourth proportional to 49,125.81, 67,790.66 and 28,989 is: 40,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125.81 : 67,790.66 = 28,989 : x
  2. Step 2: Convert to fraction form
    49,125.81/67,790.66 = 28,989/x
  3. Step 3: Cross multiply
    49,125.81x = 67,790.66 × 28,989
  4. Step 4: Simplify right side
    49,125.81x = 1,965,183,297.80
  5. Step 5: Solve for x
    x = 1,965,183,297.80/49,125.81
  6. Step 6: Final answer
    x = 40,003.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.