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Finding the Fourth Proportional to 32,835.75, 49,253.63 and 8,211.75

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Solution

The fourth proportional to 32,835.75, 49,253.63 and 8,211.75 is: 12,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835.75 : 49,253.63 = 8,211.75 : x
  2. Step 2: Convert to fraction form
    32,835.75/49,253.63 = 8,211.75/x
  3. Step 3: Cross multiply
    32,835.75x = 49,253.63 × 8,211.75
  4. Step 4: Simplify right side
    32,835.75x = 404,458,496.15
  5. Step 5: Solve for x
    x = 404,458,496.15/32,835.75
  6. Step 6: Final answer
    x = 12,317.63

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1.5x scale

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.