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Finding the Fourth Proportional to 31,876.32, 47,816.64 and 11,101.44

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Solution

The fourth proportional to 31,876.32, 47,816.64 and 11,101.44 is: 16,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.32 : 47,816.64 = 11,101.44 : x
  2. Step 2: Convert to fraction form
    31,876.32/47,816.64 = 11,101.44/x
  3. Step 3: Cross multiply
    31,876.32x = 47,816.64 × 11,101.44
  4. Step 4: Simplify right side
    31,876.32x = 530,833,559.96
  5. Step 5: Solve for x
    x = 530,833,559.96/31,876.32
  6. Step 6: Final answer
    x = 16,652.91

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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.