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Finding the Fourth Proportional to 32,778.90, 49,167.07 and 9,405.33

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Solution

The fourth proportional to 32,778.90, 49,167.07 and 9,405.33 is: 14,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.90 : 49,167.07 = 9,405.33 : x
  2. Step 2: Convert to fraction form
    32,778.90/49,167.07 = 9,405.33/x
  3. Step 3: Cross multiply
    32,778.90x = 49,167.07 × 9,405.33
  4. Step 4: Simplify right side
    32,778.90x = 462,432,518.48
  5. Step 5: Solve for x
    x = 462,432,518.48/32,778.90
  6. Step 6: Final answer
    x = 14,107.63

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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.