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Finding the Fourth Proportional to 32,450.52, 48,675.78 and 7,826.52

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Solution

The fourth proportional to 32,450.52, 48,675.78 and 7,826.52 is: 11,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.52 : 48,675.78 = 7,826.52 : x
  2. Step 2: Convert to fraction form
    32,450.52/48,675.78 = 7,826.52/x
  3. Step 3: Cross multiply
    32,450.52x = 48,675.78 × 7,826.52
  4. Step 4: Simplify right side
    32,450.52x = 380,961,965.69
  5. Step 5: Solve for x
    x = 380,961,965.69/32,450.52
  6. Step 6: Final answer
    x = 11,739.78

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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.