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Finding the Fourth Proportional to 32,219.12, 48,342.54 and 16,647.68

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Solution

The fourth proportional to 32,219.12, 48,342.54 and 16,647.68 is: 24,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.12 : 48,342.54 = 16,647.68 : x
  2. Step 2: Convert to fraction form
    32,219.12/48,342.54 = 16,647.68/x
  3. Step 3: Cross multiply
    32,219.12x = 48,342.54 × 16,647.68
  4. Step 4: Simplify right side
    32,219.12x = 804,791,136.31
  5. Step 5: Solve for x
    x = 804,791,136.31/32,219.12
  6. Step 6: Final answer
    x = 24,978.68

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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.