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Finding the Fourth Proportional to 53,338.06, 73,609.62 and 31,822.12

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Solution

The fourth proportional to 53,338.06, 73,609.62 and 31,822.12 is: 43,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338.06 : 73,609.62 = 31,822.12 : x
  2. Step 2: Convert to fraction form
    53,338.06/73,609.62 = 31,822.12/x
  3. Step 3: Cross multiply
    53,338.06x = 73,609.62 × 31,822.12
  4. Step 4: Simplify right side
    53,338.06x = 2,342,414,160.79
  5. Step 5: Solve for x
    x = 2,342,414,160.79/53,338.06
  6. Step 6: Final answer
    x = 43,916.37

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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.