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Finding the Fourth Proportional to 32,975.40, 49,462.38 and 8,015.58

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Solution

The fourth proportional to 32,975.40, 49,462.38 and 8,015.58 is: 12,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.40 : 49,462.38 = 8,015.58 : x
  2. Step 2: Convert to fraction form
    32,975.40/49,462.38 = 8,015.58/x
  3. Step 3: Cross multiply
    32,975.40x = 49,462.38 × 8,015.58
  4. Step 4: Simplify right side
    32,975.40x = 396,469,663.88
  5. Step 5: Solve for x
    x = 396,469,663.88/32,975.40
  6. Step 6: Final answer
    x = 12,023.19

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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.