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Finding the Fourth Proportional to 38,207.50, 57,313.07 and 16,021.60

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Solution

The fourth proportional to 38,207.50, 57,313.07 and 16,021.60 is: 24,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207.50 : 57,313.07 = 16,021.60 : x
  2. Step 2: Convert to fraction form
    38,207.50/57,313.07 = 16,021.60/x
  3. Step 3: Cross multiply
    38,207.50x = 57,313.07 × 16,021.60
  4. Step 4: Simplify right side
    38,207.50x = 918,246,919.00
  5. Step 5: Solve for x
    x = 918,246,919.00/38,207.50
  6. Step 6: Final answer
    x = 24,033.16

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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.