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Finding the Fourth Proportional to 75,141.14, 103,696.39 and 41,151.06

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Solution

The fourth proportional to 75,141.14, 103,696.39 and 41,151.06 is: 56,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141.14 : 103,696.39 = 41,151.06 : x
  2. Step 2: Convert to fraction form
    75,141.14/103,696.39 = 41,151.06/x
  3. Step 3: Cross multiply
    75,141.14x = 103,696.39 × 41,151.06
  4. Step 4: Simplify right side
    75,141.14x = 4,267,216,366.67
  5. Step 5: Solve for x
    x = 4,267,216,366.67/75,141.14
  6. Step 6: Final answer
    x = 56,789.35

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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.