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Finding the Fourth Proportional to 32,523.99, 48,796.23 and 11,463.18

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Solution

The fourth proportional to 32,523.99, 48,796.23 and 11,463.18 is: 17,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.99 : 48,796.23 = 11,463.18 : x
  2. Step 2: Convert to fraction form
    32,523.99/48,796.23 = 11,463.18/x
  3. Step 3: Cross multiply
    32,523.99x = 48,796.23 × 11,463.18
  4. Step 4: Simplify right side
    32,523.99x = 559,359,967.81
  5. Step 5: Solve for x
    x = 559,359,967.81/32,523.99
  6. Step 6: Final answer
    x = 17,198.38

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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.