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Finding the Fourth Proportional to 32,950.96, 49,426.43 and 7,991.01

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Solution

The fourth proportional to 32,950.96, 49,426.43 and 7,991.01 is: 11,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.96 : 49,426.43 = 7,991.01 : x
  2. Step 2: Convert to fraction form
    32,950.96/49,426.43 = 7,991.01/x
  3. Step 3: Cross multiply
    32,950.96x = 49,426.43 × 7,991.01
  4. Step 4: Simplify right side
    32,950.96x = 394,966,962.84
  5. Step 5: Solve for x
    x = 394,966,962.84/32,950.96
  6. Step 6: Final answer
    x = 11,986.51

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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.