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Finding the Fourth Proportional to 36,977.34, 51,028.73 and 20,210.34

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Solution

The fourth proportional to 36,977.34, 51,028.73 and 20,210.34 is: 27,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.34 : 51,028.73 = 20,210.34 : x
  2. Step 2: Convert to fraction form
    36,977.34/51,028.73 = 20,210.34/x
  3. Step 3: Cross multiply
    36,977.34x = 51,028.73 × 20,210.34
  4. Step 4: Simplify right side
    36,977.34x = 1,031,308,262.85
  5. Step 5: Solve for x
    x = 1,031,308,262.85/36,977.34
  6. Step 6: Final answer
    x = 27,890.27

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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.