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Finding the Fourth Proportional to 34,592.22, 47,738.37 and 20,253.46

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Solution

The fourth proportional to 34,592.22, 47,738.37 and 20,253.46 is: 27,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,592.22 : 47,738.37 = 20,253.46 : x
  2. Step 2: Convert to fraction form
    34,592.22/47,738.37 = 20,253.46/x
  3. Step 3: Cross multiply
    34,592.22x = 47,738.37 × 20,253.46
  4. Step 4: Simplify right side
    34,592.22x = 966,867,167.26
  5. Step 5: Solve for x
    x = 966,867,167.26/34,592.22
  6. Step 6: Final answer
    x = 27,950.42

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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.