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Finding the Fourth Proportional to 32,546.73, 48,820.10 and 11,765.37

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Solution

The fourth proportional to 32,546.73, 48,820.10 and 11,765.37 is: 17,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.73 : 48,820.10 = 11,765.37 : x
  2. Step 2: Convert to fraction form
    32,546.73/48,820.10 = 11,765.37/x
  3. Step 3: Cross multiply
    32,546.73x = 48,820.10 × 11,765.37
  4. Step 4: Simplify right side
    32,546.73x = 574,386,539.94
  5. Step 5: Solve for x
    x = 574,386,539.94/32,546.73
  6. Step 6: Final answer
    x = 17,648.06

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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.