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Finding the Fourth Proportional to 32,184.54, 48,284.16 and 11,408.04

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Solution

The fourth proportional to 32,184.54, 48,284.16 and 11,408.04 is: 17,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.54 : 48,284.16 = 11,408.04 : x
  2. Step 2: Convert to fraction form
    32,184.54/48,284.16 = 11,408.04/x
  3. Step 3: Cross multiply
    32,184.54x = 48,284.16 × 11,408.04
  4. Step 4: Simplify right side
    32,184.54x = 550,827,628.65
  5. Step 5: Solve for x
    x = 550,827,628.65/32,184.54
  6. Step 6: Final answer
    x = 17,114.67

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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.