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Finding the Fourth Proportional to 32,629.44, 48,910.56 and 12,900

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Solution

The fourth proportional to 32,629.44, 48,910.56 and 12,900 is: 19,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,629.44 : 48,910.56 = 12,900 : x
  2. Step 2: Convert to fraction form
    32,629.44/48,910.56 = 12,900/x
  3. Step 3: Cross multiply
    32,629.44x = 48,910.56 × 12,900
  4. Step 4: Simplify right side
    32,629.44x = 630,946,224
  5. Step 5: Solve for x
    x = 630,946,224/32,629.44
  6. Step 6: Final answer
    x = 19,336.72

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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.