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Finding the Fourth Proportional to 37,661.29, 51,977.19 and 21,745.70

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Solution

The fourth proportional to 37,661.29, 51,977.19 and 21,745.70 is: 30,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,661.29 : 51,977.19 = 21,745.70 : x
  2. Step 2: Convert to fraction form
    37,661.29/51,977.19 = 21,745.70/x
  3. Step 3: Cross multiply
    37,661.29x = 51,977.19 × 21,745.70
  4. Step 4: Simplify right side
    37,661.29x = 1,130,280,271.85
  5. Step 5: Solve for x
    x = 1,130,280,271.85/37,661.29
  6. Step 6: Final answer
    x = 30,011.73

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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.