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Finding the Fourth Proportional to 34,378.76, 47,433.84 and 20,228.96

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Solution

The fourth proportional to 34,378.76, 47,433.84 and 20,228.96 is: 27,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.76 : 47,433.84 = 20,228.96 : x
  2. Step 2: Convert to fraction form
    34,378.76/47,433.84 = 20,228.96/x
  3. Step 3: Cross multiply
    34,378.76x = 47,433.84 × 20,228.96
  4. Step 4: Simplify right side
    34,378.76x = 959,537,252.01
  5. Step 5: Solve for x
    x = 959,537,252.01/34,378.76
  6. Step 6: Final answer
    x = 27,910.76

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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.