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Finding the Fourth Proportional to 31,820.99, 47,751.20 and 18,500.26

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Solution

The fourth proportional to 31,820.99, 47,751.20 and 18,500.26 is: 27,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.99 : 47,751.20 = 18,500.26 : x
  2. Step 2: Convert to fraction form
    31,820.99/47,751.20 = 18,500.26/x
  3. Step 3: Cross multiply
    31,820.99x = 47,751.20 × 18,500.26
  4. Step 4: Simplify right side
    31,820.99x = 883,409,376.56
  5. Step 5: Solve for x
    x = 883,409,376.56/31,820.99
  6. Step 6: Final answer
    x = 27,761.84

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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.