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Finding the Fourth Proportional to 75,057.57, 103,145.92 and 71,588.25

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Solution

The fourth proportional to 75,057.57, 103,145.92 and 71,588.25 is: 98,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057.57 : 103,145.92 = 71,588.25 : x
  2. Step 2: Convert to fraction form
    75,057.57/103,145.92 = 71,588.25/x
  3. Step 3: Cross multiply
    75,057.57x = 103,145.92 × 71,588.25
  4. Step 4: Simplify right side
    75,057.57x = 7,384,035,907.44
  5. Step 5: Solve for x
    x = 7,384,035,907.44/75,057.57
  6. Step 6: Final answer
    x = 98,378.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.