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Finding the Fourth Proportional to 75,736.68, 104,517.36 and 41,746.50

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Solution

The fourth proportional to 75,736.68, 104,517.36 and 41,746.50 is: 57,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,736.68 : 104,517.36 = 41,746.50 : x
  2. Step 2: Convert to fraction form
    75,736.68/104,517.36 = 41,746.50/x
  3. Step 3: Cross multiply
    75,736.68x = 104,517.36 × 41,746.50
  4. Step 4: Simplify right side
    75,736.68x = 4,363,233,760.51
  5. Step 5: Solve for x
    x = 4,363,233,760.51/75,736.68
  6. Step 6: Final answer
    x = 57,610.58

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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.