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Finding the Fourth Proportional to 82,025, 113,194.52 and 44,299.26

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Solution

The fourth proportional to 82,025, 113,194.52 and 44,299.26 is: 61,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,025 : 113,194.52 = 44,299.26 : x
  2. Step 2: Convert to fraction form
    82,025/113,194.52 = 44,299.26/x
  3. Step 3: Cross multiply
    82,025x = 113,194.52 × 44,299.26
  4. Step 4: Simplify right side
    82,025x = 5,014,433,472.06
  5. Step 5: Solve for x
    x = 5,014,433,472.06/82,025
  6. Step 6: Final answer
    x = 61,132.99

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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.