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Finding the Fourth Proportional to 31,843.08, 47,735.46 and 11,052

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Solution

The fourth proportional to 31,843.08, 47,735.46 and 11,052 is: 16,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.08 : 47,735.46 = 11,052 : x
  2. Step 2: Convert to fraction form
    31,843.08/47,735.46 = 11,052/x
  3. Step 3: Cross multiply
    31,843.08x = 47,735.46 × 11,052
  4. Step 4: Simplify right side
    31,843.08x = 527,572,303.92
  5. Step 5: Solve for x
    x = 527,572,303.92/31,843.08
  6. Step 6: Final answer
    x = 16,567.88

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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.