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Finding the Fourth Proportional to 82,144, 113,358.76 and 44,418.24

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Solution

The fourth proportional to 82,144, 113,358.76 and 44,418.24 is: 61,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,144 : 113,358.76 = 44,418.24 : x
  2. Step 2: Convert to fraction form
    82,144/113,358.76 = 44,418.24/x
  3. Step 3: Cross multiply
    82,144x = 113,358.76 × 44,418.24
  4. Step 4: Simplify right side
    82,144x = 5,035,196,607.78
  5. Step 5: Solve for x
    x = 5,035,196,607.78/82,144
  6. Step 6: Final answer
    x = 61,297.19

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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.