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Finding the Fourth Proportional to 32,684.90, 49,020.89 and 8,986.33

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Solution

The fourth proportional to 32,684.90, 49,020.89 and 8,986.33 is: 13,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.90 : 49,020.89 = 8,986.33 : x
  2. Step 2: Convert to fraction form
    32,684.90/49,020.89 = 8,986.33/x
  3. Step 3: Cross multiply
    32,684.90x = 49,020.89 × 8,986.33
  4. Step 4: Simplify right side
    32,684.90x = 440,517,894.43
  5. Step 5: Solve for x
    x = 440,517,894.43/32,684.90
  6. Step 6: Final answer
    x = 13,477.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.