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Finding the Fourth Proportional to 65,148.36, 89,825.94 and 55,059

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Solution

The fourth proportional to 65,148.36, 89,825.94 and 55,059 is: 75,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.36 : 89,825.94 = 55,059 : x
  2. Step 2: Convert to fraction form
    65,148.36/89,825.94 = 55,059/x
  3. Step 3: Cross multiply
    65,148.36x = 89,825.94 × 55,059
  4. Step 4: Simplify right side
    65,148.36x = 4,945,726,430.46
  5. Step 5: Solve for x
    x = 4,945,726,430.46/65,148.36
  6. Step 6: Final answer
    x = 75,914.83

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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.