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Finding the Fourth Proportional to 82,083, 113,274.81 and 44,357.52

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Solution

The fourth proportional to 82,083, 113,274.81 and 44,357.52 is: 61,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083 : 113,274.81 = 44,357.52 : x
  2. Step 2: Convert to fraction form
    82,083/113,274.81 = 44,357.52/x
  3. Step 3: Cross multiply
    82,083x = 113,274.81 × 44,357.52
  4. Step 4: Simplify right side
    82,083x = 5,024,589,650.07
  5. Step 5: Solve for x
    x = 5,024,589,650.07/82,083
  6. Step 6: Final answer
    x = 61,213.52

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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.