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Finding the Fourth Proportional to 37,594.27, 51,762 and 31,917.16

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Solution

The fourth proportional to 37,594.27, 51,762 and 31,917.16 is: 43,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,594.27 : 51,762 = 31,917.16 : x
  2. Step 2: Convert to fraction form
    37,594.27/51,762 = 31,917.16/x
  3. Step 3: Cross multiply
    37,594.27x = 51,762 × 31,917.16
  4. Step 4: Simplify right side
    37,594.27x = 1,652,096,035.92
  5. Step 5: Solve for x
    x = 1,652,096,035.92/37,594.27
  6. Step 6: Final answer
    x = 43,945.42

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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.