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Finding the Fourth Proportional to 82,191, 113,424.40 and 44,466.06

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Solution

The fourth proportional to 82,191, 113,424.40 and 44,466.06 is: 61,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,191 : 113,424.40 = 44,466.06 : x
  2. Step 2: Convert to fraction form
    82,191/113,424.40 = 44,466.06/x
  3. Step 3: Cross multiply
    82,191x = 113,424.40 × 44,466.06
  4. Step 4: Simplify right side
    82,191x = 5,043,536,175.86
  5. Step 5: Solve for x
    x = 5,043,536,175.86/82,191
  6. Step 6: Final answer
    x = 61,363.61

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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.