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Finding the Fourth Proportional to 82,755.14, 114,201.57 and 45,029.54

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Solution

The fourth proportional to 82,755.14, 114,201.57 and 45,029.54 is: 62,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755.14 : 114,201.57 = 45,029.54 : x
  2. Step 2: Convert to fraction form
    82,755.14/114,201.57 = 45,029.54/x
  3. Step 3: Cross multiply
    82,755.14x = 114,201.57 × 45,029.54
  4. Step 4: Simplify right side
    82,755.14x = 5,142,444,164.38
  5. Step 5: Solve for x
    x = 5,142,444,164.38/82,755.14
  6. Step 6: Final answer
    x = 62,140.48

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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.