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Finding the Fourth Proportional to 32,415.58, 48,594.21 and 11,634.22

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Solution

The fourth proportional to 32,415.58, 48,594.21 and 11,634.22 is: 17,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.58 : 48,594.21 = 11,634.22 : x
  2. Step 2: Convert to fraction form
    32,415.58/48,594.21 = 11,634.22/x
  3. Step 3: Cross multiply
    32,415.58x = 48,594.21 × 11,634.22
  4. Step 4: Simplify right side
    32,415.58x = 565,355,729.87
  5. Step 5: Solve for x
    x = 565,355,729.87/32,415.58
  6. Step 6: Final answer
    x = 17,440.86

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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.