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Finding the Fourth Proportional to 35,197.70, 52,804.84 and 10,238.30

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Solution

The fourth proportional to 35,197.70, 52,804.84 and 10,238.30 is: 15,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,197.70 : 52,804.84 = 10,238.30 : x
  2. Step 2: Convert to fraction form
    35,197.70/52,804.84 = 10,238.30/x
  3. Step 3: Cross multiply
    35,197.70x = 52,804.84 × 10,238.30
  4. Step 4: Simplify right side
    35,197.70x = 540,631,793.37
  5. Step 5: Solve for x
    x = 540,631,793.37/35,197.70
  6. Step 6: Final answer
    x = 15,359.86

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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.