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Finding the Fourth Proportional to 55,309.62, 82,955.25 and 23,724.75

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Solution

The fourth proportional to 55,309.62, 82,955.25 and 23,724.75 is: 35,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,309.62 : 82,955.25 = 23,724.75 : x
  2. Step 2: Convert to fraction form
    55,309.62/82,955.25 = 23,724.75/x
  3. Step 3: Cross multiply
    55,309.62x = 82,955.25 × 23,724.75
  4. Step 4: Simplify right side
    55,309.62x = 1,968,092,567.44
  5. Step 5: Solve for x
    x = 1,968,092,567.44/55,309.62
  6. Step 6: Final answer
    x = 35,583.19

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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.