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Finding the Fourth Proportional to 73,872.30, 110,747.70 and 31,784.70

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Solution

The fourth proportional to 73,872.30, 110,747.70 and 31,784.70 is: 47,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872.30 : 110,747.70 = 31,784.70 : x
  2. Step 2: Convert to fraction form
    73,872.30/110,747.70 = 31,784.70/x
  3. Step 3: Cross multiply
    73,872.30x = 110,747.70 × 31,784.70
  4. Step 4: Simplify right side
    73,872.30x = 3,520,082,420.19
  5. Step 5: Solve for x
    x = 3,520,082,420.19/73,872.30
  6. Step 6: Final answer
    x = 47,650.91

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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.