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Finding the Fourth Proportional to 65,346.56, 98,149.44 and 55,982.96

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Solution

The fourth proportional to 65,346.56, 98,149.44 and 55,982.96 is: 84,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,346.56 : 98,149.44 = 55,982.96 : x
  2. Step 2: Convert to fraction form
    65,346.56/98,149.44 = 55,982.96/x
  3. Step 3: Cross multiply
    65,346.56x = 98,149.44 × 55,982.96
  4. Step 4: Simplify right side
    65,346.56x = 5,494,696,173.54
  5. Step 5: Solve for x
    x = 5,494,696,173.54/65,346.56
  6. Step 6: Final answer
    x = 84,085.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.