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Finding the Fourth Proportional to 75,408.13, 104,059.18 and 41,410

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Solution

The fourth proportional to 75,408.13, 104,059.18 and 41,410 is: 57,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408.13 : 104,059.18 = 41,410 : x
  2. Step 2: Convert to fraction form
    75,408.13/104,059.18 = 41,410/x
  3. Step 3: Cross multiply
    75,408.13x = 104,059.18 × 41,410
  4. Step 4: Simplify right side
    75,408.13x = 4,309,090,643.80
  5. Step 5: Solve for x
    x = 4,309,090,643.80/75,408.13
  6. Step 6: Final answer
    x = 57,143.58

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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.