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Finding the Fourth Proportional to 34,233.94, 51,357.39 and 15,765.94

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Solution

The fourth proportional to 34,233.94, 51,357.39 and 15,765.94 is: 23,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,233.94 : 51,357.39 = 15,765.94 : x
  2. Step 2: Convert to fraction form
    34,233.94/51,357.39 = 15,765.94/x
  3. Step 3: Cross multiply
    34,233.94x = 51,357.39 × 15,765.94
  4. Step 4: Simplify right side
    34,233.94x = 809,697,400.90
  5. Step 5: Solve for x
    x = 809,697,400.90/34,233.94
  6. Step 6: Final answer
    x = 23,651.89

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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.