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Finding the Fourth Proportional to 82,203.68, 113,441.36 and 44,478.24

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Solution

The fourth proportional to 82,203.68, 113,441.36 and 44,478.24 is: 61,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203.68 : 113,441.36 = 44,478.24 : x
  2. Step 2: Convert to fraction form
    82,203.68/113,441.36 = 44,478.24/x
  3. Step 3: Cross multiply
    82,203.68x = 113,441.36 × 44,478.24
  4. Step 4: Simplify right side
    82,203.68x = 5,045,672,036.01
  5. Step 5: Solve for x
    x = 5,045,672,036.01/82,203.68
  6. Step 6: Final answer
    x = 61,380.12

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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.