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Finding the Fourth Proportional to 34,491.16, 51,745.02 and 20,461.96

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Solution

The fourth proportional to 34,491.16, 51,745.02 and 20,461.96 is: 30,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.16 : 51,745.02 = 20,461.96 : x
  2. Step 2: Convert to fraction form
    34,491.16/51,745.02 = 20,461.96/x
  3. Step 3: Cross multiply
    34,491.16x = 51,745.02 × 20,461.96
  4. Step 4: Simplify right side
    34,491.16x = 1,058,804,529.44
  5. Step 5: Solve for x
    x = 1,058,804,529.44/34,491.16
  6. Step 6: Final answer
    x = 30,697.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.