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Finding the Fourth Proportional to 82,145.34, 113,360.49 and 44,419.50

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Solution

The fourth proportional to 82,145.34, 113,360.49 and 44,419.50 is: 61,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.34 : 113,360.49 = 44,419.50 : x
  2. Step 2: Convert to fraction form
    82,145.34/113,360.49 = 44,419.50/x
  3. Step 3: Cross multiply
    82,145.34x = 113,360.49 × 44,419.50
  4. Step 4: Simplify right side
    82,145.34x = 5,035,416,285.56
  5. Step 5: Solve for x
    x = 5,035,416,285.56/82,145.34
  6. Step 6: Final answer
    x = 61,298.87

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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.