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Finding the Fourth Proportional to 32,657.75, 48,986.87 and 8,033.75

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Solution

The fourth proportional to 32,657.75, 48,986.87 and 8,033.75 is: 12,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.75 : 48,986.87 = 8,033.75 : x
  2. Step 2: Convert to fraction form
    32,657.75/48,986.87 = 8,033.75/x
  3. Step 3: Cross multiply
    32,657.75x = 48,986.87 × 8,033.75
  4. Step 4: Simplify right side
    32,657.75x = 393,548,226.69
  5. Step 5: Solve for x
    x = 393,548,226.69/32,657.75
  6. Step 6: Final answer
    x = 12,050.68

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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.