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Finding the Fourth Proportional to 54,234.70, 81,424.95 and 34,600.30

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Solution

The fourth proportional to 54,234.70, 81,424.95 and 34,600.30 is: 51,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234.70 : 81,424.95 = 34,600.30 : x
  2. Step 2: Convert to fraction form
    54,234.70/81,424.95 = 34,600.30/x
  3. Step 3: Cross multiply
    54,234.70x = 81,424.95 × 34,600.30
  4. Step 4: Simplify right side
    54,234.70x = 2,817,327,697.49
  5. Step 5: Solve for x
    x = 2,817,327,697.49/54,234.70
  6. Step 6: Final answer
    x = 51,946.96

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Why These Related Problems?

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