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Finding the Fourth Proportional to 34,525.72, 47,650.17 and 20,189.80

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Solution

The fourth proportional to 34,525.72, 47,650.17 and 20,189.80 is: 27,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.72 : 47,650.17 = 20,189.80 : x
  2. Step 2: Convert to fraction form
    34,525.72/47,650.17 = 20,189.80/x
  3. Step 3: Cross multiply
    34,525.72x = 47,650.17 × 20,189.80
  4. Step 4: Simplify right side
    34,525.72x = 962,047,402.27
  5. Step 5: Solve for x
    x = 962,047,402.27/34,525.72
  6. Step 6: Final answer
    x = 27,864.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.