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Finding the Fourth Proportional to 51,977.62, 71,729.10 and 28,104.30

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Solution

The fourth proportional to 51,977.62, 71,729.10 and 28,104.30 is: 38,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977.62 : 71,729.10 = 28,104.30 : x
  2. Step 2: Convert to fraction form
    51,977.62/71,729.10 = 28,104.30/x
  3. Step 3: Cross multiply
    51,977.62x = 71,729.10 × 28,104.30
  4. Step 4: Simplify right side
    51,977.62x = 2,015,896,145.13
  5. Step 5: Solve for x
    x = 2,015,896,145.13/51,977.62
  6. Step 6: Final answer
    x = 38,783.93

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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.