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Finding the Fourth Proportional to 75,074.56, 103,640.38 and 43,237.31

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Solution

The fourth proportional to 75,074.56, 103,640.38 and 43,237.31 is: 59,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,074.56 : 103,640.38 = 43,237.31 : x
  2. Step 2: Convert to fraction form
    75,074.56/103,640.38 = 43,237.31/x
  3. Step 3: Cross multiply
    75,074.56x = 103,640.38 × 43,237.31
  4. Step 4: Simplify right side
    75,074.56x = 4,481,131,238.58
  5. Step 5: Solve for x
    x = 4,481,131,238.58/75,074.56
  6. Step 6: Final answer
    x = 59,689.08

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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.