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Finding the Fourth Proportional to 32,172.53, 48,288.15 and 16,388.46

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Solution

The fourth proportional to 32,172.53, 48,288.15 and 16,388.46 is: 24,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.53 : 48,288.15 = 16,388.46 : x
  2. Step 2: Convert to fraction form
    32,172.53/48,288.15 = 16,388.46/x
  3. Step 3: Cross multiply
    32,172.53x = 48,288.15 × 16,388.46
  4. Step 4: Simplify right side
    32,172.53x = 791,368,414.75
  5. Step 5: Solve for x
    x = 791,368,414.75/32,172.53
  6. Step 6: Final answer
    x = 24,597.65

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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.