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Finding the Fourth Proportional to 75,143.32, 103,697.78 and 41,609.32

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Solution

The fourth proportional to 75,143.32, 103,697.78 and 41,609.32 is: 57,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.32 : 103,697.78 = 41,609.32 : x
  2. Step 2: Convert to fraction form
    75,143.32/103,697.78 = 41,609.32/x
  3. Step 3: Cross multiply
    75,143.32x = 103,697.78 × 41,609.32
  4. Step 4: Simplify right side
    75,143.32x = 4,314,794,111.31
  5. Step 5: Solve for x
    x = 4,314,794,111.31/75,143.32
  6. Step 6: Final answer
    x = 57,420.86

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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.