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Finding the Fourth Proportional to 31,352.58, 47,047.26 and 11,644.80

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Solution

The fourth proportional to 31,352.58, 47,047.26 and 11,644.80 is: 17,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.58 : 47,047.26 = 11,644.80 : x
  2. Step 2: Convert to fraction form
    31,352.58/47,047.26 = 11,644.80/x
  3. Step 3: Cross multiply
    31,352.58x = 47,047.26 × 11,644.80
  4. Step 4: Simplify right side
    31,352.58x = 547,855,933.25
  5. Step 5: Solve for x
    x = 547,855,933.25/31,352.58
  6. Step 6: Final answer
    x = 17,474.03

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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.