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Finding the Fourth Proportional to 82,232.68, 113,481.32 and 44,507.20

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Solution

The fourth proportional to 82,232.68, 113,481.32 and 44,507.20 is: 61,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.68 : 113,481.32 = 44,507.20 : x
  2. Step 2: Convert to fraction form
    82,232.68/113,481.32 = 44,507.20/x
  3. Step 3: Cross multiply
    82,232.68x = 113,481.32 × 44,507.20
  4. Step 4: Simplify right side
    82,232.68x = 5,050,735,805.50
  5. Step 5: Solve for x
    x = 5,050,735,805.50/82,232.68
  6. Step 6: Final answer
    x = 61,420.06

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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.