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Finding the Fourth Proportional to 82,189.26, 113,421.30 and 44,463.50

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Solution

The fourth proportional to 82,189.26, 113,421.30 and 44,463.50 is: 61,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,189.26 : 113,421.30 = 44,463.50 : x
  2. Step 2: Convert to fraction form
    82,189.26/113,421.30 = 44,463.50/x
  3. Step 3: Cross multiply
    82,189.26x = 113,421.30 × 44,463.50
  4. Step 4: Simplify right side
    82,189.26x = 5,043,107,972.55
  5. Step 5: Solve for x
    x = 5,043,107,972.55/82,189.26
  6. Step 6: Final answer
    x = 61,359.70

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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.