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Finding the Fourth Proportional to 37,187.19, 51,313.16 and 21,874.43

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Solution

The fourth proportional to 37,187.19, 51,313.16 and 21,874.43 is: 30,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,187.19 : 51,313.16 = 21,874.43 : x
  2. Step 2: Convert to fraction form
    37,187.19/51,313.16 = 21,874.43/x
  3. Step 3: Cross multiply
    37,187.19x = 51,313.16 × 21,874.43
  4. Step 4: Simplify right side
    37,187.19x = 1,122,446,017.13
  5. Step 5: Solve for x
    x = 1,122,446,017.13/37,187.19
  6. Step 6: Final answer
    x = 30,183.68

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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.