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Finding the Fourth Proportional to 75,178.18, 103,745.88 and 41,187.87

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Solution

The fourth proportional to 75,178.18, 103,745.88 and 41,187.87 is: 56,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.18 : 103,745.88 = 41,187.87 : x
  2. Step 2: Convert to fraction form
    75,178.18/103,745.88 = 41,187.87/x
  3. Step 3: Cross multiply
    75,178.18x = 103,745.88 × 41,187.87
  4. Step 4: Simplify right side
    75,178.18x = 4,273,072,180.81
  5. Step 5: Solve for x
    x = 4,273,072,180.81/75,178.18
  6. Step 6: Final answer
    x = 56,839.26

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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.