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Finding the Fourth Proportional to 82,082, 113,273.43 and 44,356.52

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Solution

The fourth proportional to 82,082, 113,273.43 and 44,356.52 is: 61,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082 : 113,273.43 = 44,356.52 : x
  2. Step 2: Convert to fraction form
    82,082/113,273.43 = 44,356.52/x
  3. Step 3: Cross multiply
    82,082x = 113,273.43 × 44,356.52
  4. Step 4: Simplify right side
    82,082x = 5,024,415,163.26
  5. Step 5: Solve for x
    x = 5,024,415,163.26/82,082
  6. Step 6: Final answer
    x = 61,212.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.