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Finding the Fourth Proportional to 32,429.44, 48,630.08 and 13,717.76

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Solution

The fourth proportional to 32,429.44, 48,630.08 and 13,717.76 is: 20,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.44 : 48,630.08 = 13,717.76 : x
  2. Step 2: Convert to fraction form
    32,429.44/48,630.08 = 13,717.76/x
  3. Step 3: Cross multiply
    32,429.44x = 48,630.08 × 13,717.76
  4. Step 4: Simplify right side
    32,429.44x = 667,095,766.22
  5. Step 5: Solve for x
    x = 667,095,766.22/32,429.44
  6. Step 6: Final answer
    x = 20,570.68

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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.