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Finding the Fourth Proportional to 75,010.16, 103,509.96 and 41,474

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Solution

The fourth proportional to 75,010.16, 103,509.96 and 41,474 is: 57,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,010.16 : 103,509.96 = 41,474 : x
  2. Step 2: Convert to fraction form
    75,010.16/103,509.96 = 41,474/x
  3. Step 3: Cross multiply
    75,010.16x = 103,509.96 × 41,474
  4. Step 4: Simplify right side
    75,010.16x = 4,292,972,081.04
  5. Step 5: Solve for x
    x = 4,292,972,081.04/75,010.16
  6. Step 6: Final answer
    x = 57,231.87

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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.