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Finding the Fourth Proportional to 31,825.68, 47,739 and 11,049.84

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Solution

The fourth proportional to 31,825.68, 47,739 and 11,049.84 is: 16,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.68 : 47,739 = 11,049.84 : x
  2. Step 2: Convert to fraction form
    31,825.68/47,739 = 11,049.84/x
  3. Step 3: Cross multiply
    31,825.68x = 47,739 × 11,049.84
  4. Step 4: Simplify right side
    31,825.68x = 527,508,311.76
  5. Step 5: Solve for x
    x = 527,508,311.76/31,825.68
  6. Step 6: Final answer
    x = 16,574.93

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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.