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Finding the Fourth Proportional to 32,256.12, 48,390.32 and 11,195.32

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Solution

The fourth proportional to 32,256.12, 48,390.32 and 11,195.32 is: 16,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256.12 : 48,390.32 = 11,195.32 : x
  2. Step 2: Convert to fraction form
    32,256.12/48,390.32 = 11,195.32/x
  3. Step 3: Cross multiply
    32,256.12x = 48,390.32 × 11,195.32
  4. Step 4: Simplify right side
    32,256.12x = 541,745,117.30
  5. Step 5: Solve for x
    x = 541,745,117.30/32,256.12
  6. Step 6: Final answer
    x = 16,795.11

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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.