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Finding the Fourth Proportional to 76,804, 105,989.52 and 41,476

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Solution

The fourth proportional to 76,804, 105,989.52 and 41,476 is: 57,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804 : 105,989.52 = 41,476 : x
  2. Step 2: Convert to fraction form
    76,804/105,989.52 = 41,476/x
  3. Step 3: Cross multiply
    76,804x = 105,989.52 × 41,476
  4. Step 4: Simplify right side
    76,804x = 4,396,021,331.52
  5. Step 5: Solve for x
    x = 4,396,021,331.52/76,804
  6. Step 6: Final answer
    x = 57,236.88

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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.