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Finding the Fourth Proportional to 82,225.39, 113,471.03 and 44,499.64

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Solution

The fourth proportional to 82,225.39, 113,471.03 and 44,499.64 is: 61,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.39 : 113,471.03 = 44,499.64 : x
  2. Step 2: Convert to fraction form
    82,225.39/113,471.03 = 44,499.64/x
  3. Step 3: Cross multiply
    82,225.39x = 113,471.03 × 44,499.64
  4. Step 4: Simplify right side
    82,225.39x = 5,049,419,985.43
  5. Step 5: Solve for x
    x = 5,049,419,985.43/82,225.39
  6. Step 6: Final answer
    x = 61,409.50

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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.