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Finding the Fourth Proportional to 82,296, 113,569.29 and 44,571.06

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Solution

The fourth proportional to 82,296, 113,569.29 and 44,571.06 is: 61,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296 : 113,569.29 = 44,571.06 : x
  2. Step 2: Convert to fraction form
    82,296/113,569.29 = 44,571.06/x
  3. Step 3: Cross multiply
    82,296x = 113,569.29 × 44,571.06
  4. Step 4: Simplify right side
    82,296x = 5,061,903,638.75
  5. Step 5: Solve for x
    x = 5,061,903,638.75/82,296
  6. Step 6: Final answer
    x = 61,508.50

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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.