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Finding the Fourth Proportional to 82,755, 114,201.90 and 45,029.52

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Solution

The fourth proportional to 82,755, 114,201.90 and 45,029.52 is: 62,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755 : 114,201.90 = 45,029.52 : x
  2. Step 2: Convert to fraction form
    82,755/114,201.90 = 45,029.52/x
  3. Step 3: Cross multiply
    82,755x = 114,201.90 × 45,029.52
  4. Step 4: Simplify right side
    82,755x = 5,142,456,740.09
  5. Step 5: Solve for x
    x = 5,142,456,740.09/82,755
  6. Step 6: Final answer
    x = 62,140.74

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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.