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Finding the Fourth Proportional to 32,415.08, 48,593.44 and 11,633.72

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Solution

The fourth proportional to 32,415.08, 48,593.44 and 11,633.72 is: 17,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.08 : 48,593.44 = 11,633.72 : x
  2. Step 2: Convert to fraction form
    32,415.08/48,593.44 = 11,633.72/x
  3. Step 3: Cross multiply
    32,415.08x = 48,593.44 × 11,633.72
  4. Step 4: Simplify right side
    32,415.08x = 565,322,474.80
  5. Step 5: Solve for x
    x = 565,322,474.80/32,415.08
  6. Step 6: Final answer
    x = 17,440.11

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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.