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Finding the Fourth Proportional to 32,762.82, 49,144.22 and 8,138.82

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Solution

The fourth proportional to 32,762.82, 49,144.22 and 8,138.82 is: 12,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.82 : 49,144.22 = 8,138.82 : x
  2. Step 2: Convert to fraction form
    32,762.82/49,144.22 = 8,138.82/x
  3. Step 3: Cross multiply
    32,762.82x = 49,144.22 × 8,138.82
  4. Step 4: Simplify right side
    32,762.82x = 399,975,980.97
  5. Step 5: Solve for x
    x = 399,975,980.97/32,762.82
  6. Step 6: Final answer
    x = 12,208.23

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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.