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Finding the Fourth Proportional to 54,382.50, 75,041.37 and 31,726.26

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Solution

The fourth proportional to 54,382.50, 75,041.37 and 31,726.26 is: 43,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.50 : 75,041.37 = 31,726.26 : x
  2. Step 2: Convert to fraction form
    54,382.50/75,041.37 = 31,726.26/x
  3. Step 3: Cross multiply
    54,382.50x = 75,041.37 × 31,726.26
  4. Step 4: Simplify right side
    54,382.50x = 2,380,782,015.38
  5. Step 5: Solve for x
    x = 2,380,782,015.38/54,382.50
  6. Step 6: Final answer
    x = 43,778.46

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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.