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Finding the Fourth Proportional to 37,406.97, 56,099.50 and 30,816.81

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Solution

The fourth proportional to 37,406.97, 56,099.50 and 30,816.81 is: 46,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,406.97 : 56,099.50 = 30,816.81 : x
  2. Step 2: Convert to fraction form
    37,406.97/56,099.50 = 30,816.81/x
  3. Step 3: Cross multiply
    37,406.97x = 56,099.50 × 30,816.81
  4. Step 4: Simplify right side
    37,406.97x = 1,728,807,555.55
  5. Step 5: Solve for x
    x = 1,728,807,555.55/37,406.97
  6. Step 6: Final answer
    x = 46,216.19

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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.