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Finding the Fourth Proportional to 34,745.96, 52,108.92 and 16,965.65

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Solution

The fourth proportional to 34,745.96, 52,108.92 and 16,965.65 is: 25,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.96 : 52,108.92 = 16,965.65 : x
  2. Step 2: Convert to fraction form
    34,745.96/52,108.92 = 16,965.65/x
  3. Step 3: Cross multiply
    34,745.96x = 52,108.92 × 16,965.65
  4. Step 4: Simplify right side
    34,745.96x = 884,061,828.87
  5. Step 5: Solve for x
    x = 884,061,828.87/34,745.96
  6. Step 6: Final answer
    x = 25,443.58

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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.