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Finding the Fourth Proportional to 32,768.06, 49,152.14 and 8,144.06

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Solution

The fourth proportional to 32,768.06, 49,152.14 and 8,144.06 is: 12,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.06 : 49,152.14 = 8,144.06 : x
  2. Step 2: Convert to fraction form
    32,768.06/49,152.14 = 8,144.06/x
  3. Step 3: Cross multiply
    32,768.06x = 49,152.14 × 8,144.06
  4. Step 4: Simplify right side
    32,768.06x = 400,297,977.29
  5. Step 5: Solve for x
    x = 400,297,977.29/32,768.06
  6. Step 6: Final answer
    x = 12,216.10

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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.