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Finding the Fourth Proportional to 32,343.30, 48,497.31 and 11,277.68

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Solution

The fourth proportional to 32,343.30, 48,497.31 and 11,277.68 is: 16,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,343.30 : 48,497.31 = 11,277.68 : x
  2. Step 2: Convert to fraction form
    32,343.30/48,497.31 = 11,277.68/x
  3. Step 3: Cross multiply
    32,343.30x = 48,497.31 × 11,277.68
  4. Step 4: Simplify right side
    32,343.30x = 546,936,900.55
  5. Step 5: Solve for x
    x = 546,936,900.55/32,343.30
  6. Step 6: Final answer
    x = 16,910.36

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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.