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Finding the Fourth Proportional to 82,167.32, 113,390.84 and 44,441.56

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Solution

The fourth proportional to 82,167.32, 113,390.84 and 44,441.56 is: 61,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.32 : 113,390.84 = 44,441.56 : x
  2. Step 2: Convert to fraction form
    82,167.32/113,390.84 = 44,441.56/x
  3. Step 3: Cross multiply
    82,167.32x = 113,390.84 × 44,441.56
  4. Step 4: Simplify right side
    82,167.32x = 5,039,265,819.31
  5. Step 5: Solve for x
    x = 5,039,265,819.31/82,167.32
  6. Step 6: Final answer
    x = 61,329.32

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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.