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Finding the Fourth Proportional to 34,253.64, 47,271.84 and 20,822.70

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Solution

The fourth proportional to 34,253.64, 47,271.84 and 20,822.70 is: 28,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.64 : 47,271.84 = 20,822.70 : x
  2. Step 2: Convert to fraction form
    34,253.64/47,271.84 = 20,822.70/x
  3. Step 3: Cross multiply
    34,253.64x = 47,271.84 × 20,822.70
  4. Step 4: Simplify right side
    34,253.64x = 984,327,342.77
  5. Step 5: Solve for x
    x = 984,327,342.77/34,253.64
  6. Step 6: Final answer
    x = 28,736.43

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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.