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Finding the Fourth Proportional to 54,673.84, 81,824.86 and 34,673.73

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Solution

The fourth proportional to 54,673.84, 81,824.86 and 34,673.73 is: 51,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,673.84 : 81,824.86 = 34,673.73 : x
  2. Step 2: Convert to fraction form
    54,673.84/81,824.86 = 34,673.73/x
  3. Step 3: Cross multiply
    54,673.84x = 81,824.86 × 34,673.73
  4. Step 4: Simplify right side
    54,673.84x = 2,837,173,102.93
  5. Step 5: Solve for x
    x = 2,837,173,102.93/54,673.84
  6. Step 6: Final answer
    x = 51,892.70

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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.