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Finding the Fourth Proportional to 53,057.84, 73,241.72 and 31,833

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Solution

The fourth proportional to 53,057.84, 73,241.72 and 31,833 is: 43,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057.84 : 73,241.72 = 31,833 : x
  2. Step 2: Convert to fraction form
    53,057.84/73,241.72 = 31,833/x
  3. Step 3: Cross multiply
    53,057.84x = 73,241.72 × 31,833
  4. Step 4: Simplify right side
    53,057.84x = 2,331,503,632.97
  5. Step 5: Solve for x
    x = 2,331,503,632.97/53,057.84
  6. Step 6: Final answer
    x = 43,942.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.