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Finding the Fourth Proportional to 75,140.24, 103,693.80 and 41,606.24

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Solution

The fourth proportional to 75,140.24, 103,693.80 and 41,606.24 is: 57,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140.24 : 103,693.80 = 41,606.24 : x
  2. Step 2: Convert to fraction form
    75,140.24/103,693.80 = 41,606.24/x
  3. Step 3: Cross multiply
    75,140.24x = 103,693.80 × 41,606.24
  4. Step 4: Simplify right side
    75,140.24x = 4,314,309,129.31
  5. Step 5: Solve for x
    x = 4,314,309,129.31/75,140.24
  6. Step 6: Final answer
    x = 57,416.76

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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.