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Finding the Fourth Proportional to 82,219, 113,463.04 and 44,494.06

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Solution

The fourth proportional to 82,219, 113,463.04 and 44,494.06 is: 61,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219 : 113,463.04 = 44,494.06 : x
  2. Step 2: Convert to fraction form
    82,219/113,463.04 = 44,494.06/x
  3. Step 3: Cross multiply
    82,219x = 113,463.04 × 44,494.06
  4. Step 4: Simplify right side
    82,219x = 5,048,431,309.54
  5. Step 5: Solve for x
    x = 5,048,431,309.54/82,219
  6. Step 6: Final answer
    x = 61,402.25

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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.