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Finding the Fourth Proportional to 82,039.40, 113,214.36 and 44,313.64

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Solution

The fourth proportional to 82,039.40, 113,214.36 and 44,313.64 is: 61,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.40 : 113,214.36 = 44,313.64 : x
  2. Step 2: Convert to fraction form
    82,039.40/113,214.36 = 44,313.64/x
  3. Step 3: Cross multiply
    82,039.40x = 113,214.36 × 44,313.64
  4. Step 4: Simplify right side
    82,039.40x = 5,016,940,391.87
  5. Step 5: Solve for x
    x = 5,016,940,391.87/82,039.40
  6. Step 6: Final answer
    x = 61,152.82

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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.