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Finding the Fourth Proportional to 75,415.41, 104,074.12 and 41,424.69

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Solution

The fourth proportional to 75,415.41, 104,074.12 and 41,424.69 is: 57,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.41 : 104,074.12 = 41,424.69 : x
  2. Step 2: Convert to fraction form
    75,415.41/104,074.12 = 41,424.69/x
  3. Step 3: Cross multiply
    75,415.41x = 104,074.12 × 41,424.69
  4. Step 4: Simplify right side
    75,415.41x = 4,311,238,158.02
  5. Step 5: Solve for x
    x = 4,311,238,158.02/75,415.41
  6. Step 6: Final answer
    x = 57,166.54

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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.