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Finding the Fourth Proportional to 32,455.50, 48,641.28 and 16,647.42

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Solution

The fourth proportional to 32,455.50, 48,641.28 and 16,647.42 is: 24,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455.50 : 48,641.28 = 16,647.42 : x
  2. Step 2: Convert to fraction form
    32,455.50/48,641.28 = 16,647.42/x
  3. Step 3: Cross multiply
    32,455.50x = 48,641.28 × 16,647.42
  4. Step 4: Simplify right side
    32,455.50x = 809,751,817.50
  5. Step 5: Solve for x
    x = 809,751,817.50/32,455.50
  6. Step 6: Final answer
    x = 24,949.60

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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.