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Finding the Fourth Proportional to 32,986.26, 49,479.42 and 8,026.31

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Solution

The fourth proportional to 32,986.26, 49,479.42 and 8,026.31 is: 12,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986.26 : 49,479.42 = 8,026.31 : x
  2. Step 2: Convert to fraction form
    32,986.26/49,479.42 = 8,026.31/x
  3. Step 3: Cross multiply
    32,986.26x = 49,479.42 × 8,026.31
  4. Step 4: Simplify right side
    32,986.26x = 397,137,039.02
  5. Step 5: Solve for x
    x = 397,137,039.02/32,986.26
  6. Step 6: Final answer
    x = 12,039.47

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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.