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Finding the Fourth Proportional to 55,248.65, 82,945.25 and 32,800.31

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Solution

The fourth proportional to 55,248.65, 82,945.25 and 32,800.31 is: 49,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,248.65 : 82,945.25 = 32,800.31 : x
  2. Step 2: Convert to fraction form
    55,248.65/82,945.25 = 32,800.31/x
  3. Step 3: Cross multiply
    55,248.65x = 82,945.25 × 32,800.31
  4. Step 4: Simplify right side
    55,248.65x = 2,720,629,749.03
  5. Step 5: Solve for x
    x = 2,720,629,749.03/55,248.65
  6. Step 6: Final answer
    x = 49,243.37

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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.