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Finding the Fourth Proportional to 107,955.60, 161,884.80 and 48,760.80

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Solution

The fourth proportional to 107,955.60, 161,884.80 and 48,760.80 is: 73,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,955.60 : 161,884.80 = 48,760.80 : x
  2. Step 2: Convert to fraction form
    107,955.60/161,884.80 = 48,760.80/x
  3. Step 3: Cross multiply
    107,955.60x = 161,884.80 × 48,760.80
  4. Step 4: Simplify right side
    107,955.60x = 7,893,632,355.84
  5. Step 5: Solve for x
    x = 7,893,632,355.84/107,955.60
  6. Step 6: Final answer
    x = 73,119.25

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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.