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Finding the Fourth Proportional to 32,131.46, 48,185.22 and 11,065.64

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Solution

The fourth proportional to 32,131.46, 48,185.22 and 11,065.64 is: 16,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.46 : 48,185.22 = 11,065.64 : x
  2. Step 2: Convert to fraction form
    32,131.46/48,185.22 = 11,065.64/x
  3. Step 3: Cross multiply
    32,131.46x = 48,185.22 × 11,065.64
  4. Step 4: Simplify right side
    32,131.46x = 533,200,297.84
  5. Step 5: Solve for x
    x = 533,200,297.84/32,131.46
  6. Step 6: Final answer
    x = 16,594.34

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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.