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Finding the Fourth Proportional to 107,968.41, 161,952.62 and 55,344.33

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Solution

The fourth proportional to 107,968.41, 161,952.62 and 55,344.33 is: 83,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,968.41 : 161,952.62 = 55,344.33 : x
  2. Step 2: Convert to fraction form
    107,968.41/161,952.62 = 55,344.33/x
  3. Step 3: Cross multiply
    107,968.41x = 161,952.62 × 55,344.33
  4. Step 4: Simplify right side
    107,968.41x = 8,963,158,968.92
  5. Step 5: Solve for x
    x = 8,963,158,968.92/107,968.41
  6. Step 6: Final answer
    x = 83,016.50

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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.