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Finding the Fourth Proportional to 32,464.50, 44,801.10 and 17,560.50

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Solution

The fourth proportional to 32,464.50, 44,801.10 and 17,560.50 is: 24,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.50 : 44,801.10 = 17,560.50 : x
  2. Step 2: Convert to fraction form
    32,464.50/44,801.10 = 17,560.50/x
  3. Step 3: Cross multiply
    32,464.50x = 44,801.10 × 17,560.50
  4. Step 4: Simplify right side
    32,464.50x = 786,729,716.55
  5. Step 5: Solve for x
    x = 786,729,716.55/32,464.50
  6. Step 6: Final answer
    x = 24,233.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.