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Finding the Fourth Proportional to 54,234.80, 74,846.90 and 34,084.23

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Solution

The fourth proportional to 54,234.80, 74,846.90 and 34,084.23 is: 47,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234.80 : 74,846.90 = 34,084.23 : x
  2. Step 2: Convert to fraction form
    54,234.80/74,846.90 = 34,084.23/x
  3. Step 3: Cross multiply
    54,234.80x = 74,846.90 × 34,084.23
  4. Step 4: Simplify right side
    54,234.80x = 2,551,098,758.92
  5. Step 5: Solve for x
    x = 2,551,098,758.92/54,234.80
  6. Step 6: Final answer
    x = 47,038.04

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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.