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Finding the Fourth Proportional to 31,946, 47,919.82 and 11,169.50

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Solution

The fourth proportional to 31,946, 47,919.82 and 11,169.50 is: 16,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946 : 47,919.82 = 11,169.50 : x
  2. Step 2: Convert to fraction form
    31,946/47,919.82 = 11,169.50/x
  3. Step 3: Cross multiply
    31,946x = 47,919.82 × 11,169.50
  4. Step 4: Simplify right side
    31,946x = 535,240,429.49
  5. Step 5: Solve for x
    x = 535,240,429.49/31,946
  6. Step 6: Final answer
    x = 16,754.54

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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.