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Finding the Fourth Proportional to 31,644.51, 47,429.50 and 12,912.86

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Solution

The fourth proportional to 31,644.51, 47,429.50 and 12,912.86 is: 19,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.51 : 47,429.50 = 12,912.86 : x
  2. Step 2: Convert to fraction form
    31,644.51/47,429.50 = 12,912.86/x
  3. Step 3: Cross multiply
    31,644.51x = 47,429.50 × 12,912.86
  4. Step 4: Simplify right side
    31,644.51x = 612,450,493.37
  5. Step 5: Solve for x
    x = 612,450,493.37/31,644.51
  6. Step 6: Final answer
    x = 19,354.08

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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.