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Finding the Fourth Proportional to 54,832.84, 75,633 and 37,837.82

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Solution

The fourth proportional to 54,832.84, 75,633 and 37,837.82 is: 52,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832.84 : 75,633 = 37,837.82 : x
  2. Step 2: Convert to fraction form
    54,832.84/75,633 = 37,837.82/x
  3. Step 3: Cross multiply
    54,832.84x = 75,633 × 37,837.82
  4. Step 4: Simplify right side
    54,832.84x = 2,861,787,840.06
  5. Step 5: Solve for x
    x = 2,861,787,840.06/54,832.84
  6. Step 6: Final answer
    x = 52,191.13

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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.