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Finding the Fourth Proportional to 65,112.08, 89,856.44 and 36,822

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Solution

The fourth proportional to 65,112.08, 89,856.44 and 36,822 is: 50,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.08 : 89,856.44 = 36,822 : x
  2. Step 2: Convert to fraction form
    65,112.08/89,856.44 = 36,822/x
  3. Step 3: Cross multiply
    65,112.08x = 89,856.44 × 36,822
  4. Step 4: Simplify right side
    65,112.08x = 3,308,693,833.68
  5. Step 5: Solve for x
    x = 3,308,693,833.68/65,112.08
  6. Step 6: Final answer
    x = 50,815.36

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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.