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Finding the Fourth Proportional to 34,222.30, 51,333.75 and 12,035.84

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Solution

The fourth proportional to 34,222.30, 51,333.75 and 12,035.84 is: 18,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,222.30 : 51,333.75 = 12,035.84 : x
  2. Step 2: Convert to fraction form
    34,222.30/51,333.75 = 12,035.84/x
  3. Step 3: Cross multiply
    34,222.30x = 51,333.75 × 12,035.84
  4. Step 4: Simplify right side
    34,222.30x = 617,844,833.68
  5. Step 5: Solve for x
    x = 617,844,833.68/34,222.30
  6. Step 6: Final answer
    x = 18,053.87

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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.