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Finding the Fourth Proportional to 75,901.56, 104,741.40 and 41,909.31

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Solution

The fourth proportional to 75,901.56, 104,741.40 and 41,909.31 is: 57,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,901.56 : 104,741.40 = 41,909.31 : x
  2. Step 2: Convert to fraction form
    75,901.56/104,741.40 = 41,909.31/x
  3. Step 3: Cross multiply
    75,901.56x = 104,741.40 × 41,909.31
  4. Step 4: Simplify right side
    75,901.56x = 4,389,639,802.43
  5. Step 5: Solve for x
    x = 4,389,639,802.43/75,901.56
  6. Step 6: Final answer
    x = 57,833.33

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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.