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Finding the Fourth Proportional to 32,967.44, 49,449.60 and 10,777.89

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Solution

The fourth proportional to 32,967.44, 49,449.60 and 10,777.89 is: 16,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.44 : 49,449.60 = 10,777.89 : x
  2. Step 2: Convert to fraction form
    32,967.44/49,449.60 = 10,777.89/x
  3. Step 3: Cross multiply
    32,967.44x = 49,449.60 × 10,777.89
  4. Step 4: Simplify right side
    32,967.44x = 532,962,349.34
  5. Step 5: Solve for x
    x = 532,962,349.34/32,967.44
  6. Step 6: Final answer
    x = 16,166.33

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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.