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Finding the Fourth Proportional to 34,420.89, 47,496.60 and 20,271

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Solution

The fourth proportional to 34,420.89, 47,496.60 and 20,271 is: 27,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,420.89 : 47,496.60 = 20,271 : x
  2. Step 2: Convert to fraction form
    34,420.89/47,496.60 = 20,271/x
  3. Step 3: Cross multiply
    34,420.89x = 47,496.60 × 20,271
  4. Step 4: Simplify right side
    34,420.89x = 962,803,578.60
  5. Step 5: Solve for x
    x = 962,803,578.60/34,420.89
  6. Step 6: Final answer
    x = 27,971.49

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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.