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Finding the Fourth Proportional to 75,810.40, 104,617.05 and 41,822.14

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Solution

The fourth proportional to 75,810.40, 104,617.05 and 41,822.14 is: 57,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,810.40 : 104,617.05 = 41,822.14 : x
  2. Step 2: Convert to fraction form
    75,810.40/104,617.05 = 41,822.14/x
  3. Step 3: Cross multiply
    75,810.40x = 104,617.05 × 41,822.14
  4. Step 4: Simplify right side
    75,810.40x = 4,375,309,189.30
  5. Step 5: Solve for x
    x = 4,375,309,189.30/75,810.40
  6. Step 6: Final answer
    x = 57,713.84

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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.