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Finding the Fourth Proportional to 31,525.64, 47,299.26 and 10,763.72

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Solution

The fourth proportional to 31,525.64, 47,299.26 and 10,763.72 is: 16,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.64 : 47,299.26 = 10,763.72 : x
  2. Step 2: Convert to fraction form
    31,525.64/47,299.26 = 10,763.72/x
  3. Step 3: Cross multiply
    31,525.64x = 47,299.26 × 10,763.72
  4. Step 4: Simplify right side
    31,525.64x = 509,115,990.85
  5. Step 5: Solve for x
    x = 509,115,990.85/31,525.64
  6. Step 6: Final answer
    x = 16,149.27

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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.