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Finding the Fourth Proportional to 32,950.94, 49,426.22 and 7,990.99

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Solution

The fourth proportional to 32,950.94, 49,426.22 and 7,990.99 is: 11,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.94 : 49,426.22 = 7,990.99 : x
  2. Step 2: Convert to fraction form
    32,950.94/49,426.22 = 7,990.99/x
  3. Step 3: Cross multiply
    32,950.94x = 49,426.22 × 7,990.99
  4. Step 4: Simplify right side
    32,950.94x = 394,964,326.17
  5. Step 5: Solve for x
    x = 394,964,326.17/32,950.94
  6. Step 6: Final answer
    x = 11,986.44

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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.