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Finding the Fourth Proportional to 38,731.60, 58,100.16 and 16,219.60

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Solution

The fourth proportional to 38,731.60, 58,100.16 and 16,219.60 is: 24,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,731.60 : 58,100.16 = 16,219.60 : x
  2. Step 2: Convert to fraction form
    38,731.60/58,100.16 = 16,219.60/x
  3. Step 3: Cross multiply
    38,731.60x = 58,100.16 × 16,219.60
  4. Step 4: Simplify right side
    38,731.60x = 942,361,355.14
  5. Step 5: Solve for x
    x = 942,361,355.14/38,731.60
  6. Step 6: Final answer
    x = 24,330.56

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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.