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Finding the Fourth Proportional to 75,113.77, 103,657.26 and 41,122.57

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Solution

The fourth proportional to 75,113.77, 103,657.26 and 41,122.57 is: 56,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,113.77 : 103,657.26 = 41,122.57 : x
  2. Step 2: Convert to fraction form
    75,113.77/103,657.26 = 41,122.57/x
  3. Step 3: Cross multiply
    75,113.77x = 103,657.26 × 41,122.57
  4. Step 4: Simplify right side
    75,113.77x = 4,262,652,930.36
  5. Step 5: Solve for x
    x = 4,262,652,930.36/75,113.77
  6. Step 6: Final answer
    x = 56,749.29

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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.