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Finding the Fourth Proportional to 32,538.48, 48,794.20 and 15,893.68

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Solution

The fourth proportional to 32,538.48, 48,794.20 and 15,893.68 is: 23,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.48 : 48,794.20 = 15,893.68 : x
  2. Step 2: Convert to fraction form
    32,538.48/48,794.20 = 15,893.68/x
  3. Step 3: Cross multiply
    32,538.48x = 48,794.20 × 15,893.68
  4. Step 4: Simplify right side
    32,538.48x = 775,519,400.66
  5. Step 5: Solve for x
    x = 775,519,400.66/32,538.48
  6. Step 6: Final answer
    x = 23,833.92

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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.