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Finding the Fourth Proportional to 32,513.85, 48,772.19 and 11,181.26

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Solution

The fourth proportional to 32,513.85, 48,772.19 and 11,181.26 is: 16,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.85 : 48,772.19 = 11,181.26 : x
  2. Step 2: Convert to fraction form
    32,513.85/48,772.19 = 11,181.26/x
  3. Step 3: Cross multiply
    32,513.85x = 48,772.19 × 11,181.26
  4. Step 4: Simplify right side
    32,513.85x = 545,334,687.04
  5. Step 5: Solve for x
    x = 545,334,687.04/32,513.85
  6. Step 6: Final answer
    x = 16,772.38

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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.