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Finding the Fourth Proportional to 76,012.32, 113,979.78 and 40,494

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Solution

The fourth proportional to 76,012.32, 113,979.78 and 40,494 is: 60,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,012.32 : 113,979.78 = 40,494 : x
  2. Step 2: Convert to fraction form
    76,012.32/113,979.78 = 40,494/x
  3. Step 3: Cross multiply
    76,012.32x = 113,979.78 × 40,494
  4. Step 4: Simplify right side
    76,012.32x = 4,615,497,211.32
  5. Step 5: Solve for x
    x = 4,615,497,211.32/76,012.32
  6. Step 6: Final answer
    x = 60,720.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.