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Finding the Fourth Proportional to 34,523.82, 47,641.50 and 20,381.22

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Solution

The fourth proportional to 34,523.82, 47,641.50 and 20,381.22 is: 28,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,523.82 : 47,641.50 = 20,381.22 : x
  2. Step 2: Convert to fraction form
    34,523.82/47,641.50 = 20,381.22/x
  3. Step 3: Cross multiply
    34,523.82x = 47,641.50 × 20,381.22
  4. Step 4: Simplify right side
    34,523.82x = 970,991,892.63
  5. Step 5: Solve for x
    x = 970,991,892.63/34,523.82
  6. Step 6: Final answer
    x = 28,125.27

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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.