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Finding the Fourth Proportional to 75,175.83, 103,738.19 and 41,177.52

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Solution

The fourth proportional to 75,175.83, 103,738.19 and 41,177.52 is: 56,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175.83 : 103,738.19 = 41,177.52 : x
  2. Step 2: Convert to fraction form
    75,175.83/103,738.19 = 41,177.52/x
  3. Step 3: Cross multiply
    75,175.83x = 103,738.19 × 41,177.52
  4. Step 4: Simplify right side
    75,175.83x = 4,271,681,187.60
  5. Step 5: Solve for x
    x = 4,271,681,187.60/75,175.83
  6. Step 6: Final answer
    x = 56,822.53

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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.