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Finding the Fourth Proportional to 75,144.16, 103,694.80 and 41,608

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Solution

The fourth proportional to 75,144.16, 103,694.80 and 41,608 is: 57,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.16 : 103,694.80 = 41,608 : x
  2. Step 2: Convert to fraction form
    75,144.16/103,694.80 = 41,608/x
  3. Step 3: Cross multiply
    75,144.16x = 103,694.80 × 41,608
  4. Step 4: Simplify right side
    75,144.16x = 4,314,533,238.40
  5. Step 5: Solve for x
    x = 4,314,533,238.40/75,144.16
  6. Step 6: Final answer
    x = 57,416.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.