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Finding the Fourth Proportional to 75,076.82, 103,604.39 and 41,085.16

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Solution

The fourth proportional to 75,076.82, 103,604.39 and 41,085.16 is: 56,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076.82 : 103,604.39 = 41,085.16 : x
  2. Step 2: Convert to fraction form
    75,076.82/103,604.39 = 41,085.16/x
  3. Step 3: Cross multiply
    75,076.82x = 103,604.39 × 41,085.16
  4. Step 4: Simplify right side
    75,076.82x = 4,256,602,939.85
  5. Step 5: Solve for x
    x = 4,256,602,939.85/75,076.82
  6. Step 6: Final answer
    x = 56,696.63

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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.