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Finding the Fourth Proportional to 51,043.20, 76,622.40 and 30,278.40

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Solution

The fourth proportional to 51,043.20, 76,622.40 and 30,278.40 is: 45,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043.20 : 76,622.40 = 30,278.40 : x
  2. Step 2: Convert to fraction form
    51,043.20/76,622.40 = 30,278.40/x
  3. Step 3: Cross multiply
    51,043.20x = 76,622.40 × 30,278.40
  4. Step 4: Simplify right side
    51,043.20x = 2,320,003,676.16
  5. Step 5: Solve for x
    x = 2,320,003,676.16/51,043.20
  6. Step 6: Final answer
    x = 45,451.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.