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Finding the Fourth Proportional to 75,086.08, 103,619.52 and 41,552

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Solution

The fourth proportional to 75,086.08, 103,619.52 and 41,552 is: 57,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,086.08 : 103,619.52 = 41,552 : x
  2. Step 2: Convert to fraction form
    75,086.08/103,619.52 = 41,552/x
  3. Step 3: Cross multiply
    75,086.08x = 103,619.52 × 41,552
  4. Step 4: Simplify right side
    75,086.08x = 4,305,598,295.04
  5. Step 5: Solve for x
    x = 4,305,598,295.04/75,086.08
  6. Step 6: Final answer
    x = 57,342.16

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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.