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Finding the Fourth Proportional to 72,197.50, 99,629.64 and 39,930

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Solution

The fourth proportional to 72,197.50, 99,629.64 and 39,930 is: 55,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,197.50 : 99,629.64 = 39,930 : x
  2. Step 2: Convert to fraction form
    72,197.50/99,629.64 = 39,930/x
  3. Step 3: Cross multiply
    72,197.50x = 99,629.64 × 39,930
  4. Step 4: Simplify right side
    72,197.50x = 3,978,211,525.20
  5. Step 5: Solve for x
    x = 3,978,211,525.20/72,197.50
  6. Step 6: Final answer
    x = 55,101.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.