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Finding the Fourth Proportional to 31,367.94, 47,051.64 and 7,675.56

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Solution

The fourth proportional to 31,367.94, 47,051.64 and 7,675.56 is: 11,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367.94 : 47,051.64 = 7,675.56 : x
  2. Step 2: Convert to fraction form
    31,367.94/47,051.64 = 7,675.56/x
  3. Step 3: Cross multiply
    31,367.94x = 47,051.64 × 7,675.56
  4. Step 4: Simplify right side
    31,367.94x = 361,147,685.92
  5. Step 5: Solve for x
    x = 361,147,685.92/31,367.94
  6. Step 6: Final answer
    x = 11,513.27

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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.