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Finding the Fourth Proportional to 82,142.64, 113,356.44 and 44,416.80

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Solution

The fourth proportional to 82,142.64, 113,356.44 and 44,416.80 is: 61,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.64 : 113,356.44 = 44,416.80 : x
  2. Step 2: Convert to fraction form
    82,142.64/113,356.44 = 44,416.80/x
  3. Step 3: Cross multiply
    82,142.64x = 113,356.44 × 44,416.80
  4. Step 4: Simplify right side
    82,142.64x = 5,034,930,324.19
  5. Step 5: Solve for x
    x = 5,034,930,324.19/82,142.64
  6. Step 6: Final answer
    x = 61,294.97

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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.