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Finding the Fourth Proportional to 82,464.42, 113,801.12 and 44,738.67

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Solution

The fourth proportional to 82,464.42, 113,801.12 and 44,738.67 is: 61,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464.42 : 113,801.12 = 44,738.67 : x
  2. Step 2: Convert to fraction form
    82,464.42/113,801.12 = 44,738.67/x
  3. Step 3: Cross multiply
    82,464.42x = 113,801.12 × 44,738.67
  4. Step 4: Simplify right side
    82,464.42x = 5,091,310,753.31
  5. Step 5: Solve for x
    x = 5,091,310,753.31/82,464.42
  6. Step 6: Final answer
    x = 61,739.48

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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.