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Finding the Fourth Proportional to 101,604.24, 152,362.62 and 39,231

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Solution

The fourth proportional to 101,604.24, 152,362.62 and 39,231 is: 58,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,604.24 : 152,362.62 = 39,231 : x
  2. Step 2: Convert to fraction form
    101,604.24/152,362.62 = 39,231/x
  3. Step 3: Cross multiply
    101,604.24x = 152,362.62 × 39,231
  4. Step 4: Simplify right side
    101,604.24x = 5,977,337,945.22
  5. Step 5: Solve for x
    x = 5,977,337,945.22/101,604.24
  6. Step 6: Final answer
    x = 58,829.61

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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.