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Finding the Fourth Proportional to 53,474.82, 73,797 and 30,812.06

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Solution

The fourth proportional to 53,474.82, 73,797 and 30,812.06 is: 42,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474.82 : 73,797 = 30,812.06 : x
  2. Step 2: Convert to fraction form
    53,474.82/73,797 = 30,812.06/x
  3. Step 3: Cross multiply
    53,474.82x = 73,797 × 30,812.06
  4. Step 4: Simplify right side
    53,474.82x = 2,273,837,591.82
  5. Step 5: Solve for x
    x = 2,273,837,591.82/53,474.82
  6. Step 6: Final answer
    x = 42,521.65

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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.