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Finding the Fourth Proportional to 48,164.80, 72,243.60 and 20,077.60

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Solution

The fourth proportional to 48,164.80, 72,243.60 and 20,077.60 is: 30,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,164.80 : 72,243.60 = 20,077.60 : x
  2. Step 2: Convert to fraction form
    48,164.80/72,243.60 = 20,077.60/x
  3. Step 3: Cross multiply
    48,164.80x = 72,243.60 × 20,077.60
  4. Step 4: Simplify right side
    48,164.80x = 1,450,478,103.36
  5. Step 5: Solve for x
    x = 1,450,478,103.36/48,164.80
  6. Step 6: Final answer
    x = 30,114.90

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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.