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Finding the Fourth Proportional to 31,991.58, 47,993.04 and 15,381.72

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Solution

The fourth proportional to 31,991.58, 47,993.04 and 15,381.72 is: 23,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.58 : 47,993.04 = 15,381.72 : x
  2. Step 2: Convert to fraction form
    31,991.58/47,993.04 = 15,381.72/x
  3. Step 3: Cross multiply
    31,991.58x = 47,993.04 × 15,381.72
  4. Step 4: Simplify right side
    31,991.58x = 738,215,503.23
  5. Step 5: Solve for x
    x = 738,215,503.23/31,991.58
  6. Step 6: Final answer
    x = 23,075.31

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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.