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Finding the Fourth Proportional to 32,840.75, 49,261.26 and 8,216.75

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Solution

The fourth proportional to 32,840.75, 49,261.26 and 8,216.75 is: 12,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.75 : 49,261.26 = 8,216.75 : x
  2. Step 2: Convert to fraction form
    32,840.75/49,261.26 = 8,216.75/x
  3. Step 3: Cross multiply
    32,840.75x = 49,261.26 × 8,216.75
  4. Step 4: Simplify right side
    32,840.75x = 404,767,458.11
  5. Step 5: Solve for x
    x = 404,767,458.11/32,840.75
  6. Step 6: Final answer
    x = 12,325.16

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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.