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Finding the Fourth Proportional to 32,751.75, 49,127.63 and 8,127.75

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Solution

The fourth proportional to 32,751.75, 49,127.63 and 8,127.75 is: 12,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.75 : 49,127.63 = 8,127.75 : x
  2. Step 2: Convert to fraction form
    32,751.75/49,127.63 = 8,127.75/x
  3. Step 3: Cross multiply
    32,751.75x = 49,127.63 × 8,127.75
  4. Step 4: Simplify right side
    32,751.75x = 399,297,054.09
  5. Step 5: Solve for x
    x = 399,297,054.09/32,751.75
  6. Step 6: Final answer
    x = 12,191.63

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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.