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Finding the Fourth Proportional to 32,538.51, 48,808.17 and 10,351.80

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Solution

The fourth proportional to 32,538.51, 48,808.17 and 10,351.80 is: 15,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,538.51 : 48,808.17 = 10,351.80 : x
  2. Step 2: Convert to fraction form
    32,538.51/48,808.17 = 10,351.80/x
  3. Step 3: Cross multiply
    32,538.51x = 48,808.17 × 10,351.80
  4. Step 4: Simplify right side
    32,538.51x = 505,252,414.21
  5. Step 5: Solve for x
    x = 505,252,414.21/32,538.51
  6. Step 6: Final answer
    x = 15,527.83

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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.