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Finding the Fourth Proportional to 75,144.56, 103,699.51 and 41,610.56

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Solution

The fourth proportional to 75,144.56, 103,699.51 and 41,610.56 is: 57,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.56 : 103,699.51 = 41,610.56 : x
  2. Step 2: Convert to fraction form
    75,144.56/103,699.51 = 41,610.56/x
  3. Step 3: Cross multiply
    75,144.56x = 103,699.51 × 41,610.56
  4. Step 4: Simplify right side
    75,144.56x = 4,314,994,682.83
  5. Step 5: Solve for x
    x = 4,314,994,682.83/75,144.56
  6. Step 6: Final answer
    x = 57,422.58

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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.