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Finding the Fourth Proportional to 48,769.60, 67,298.40 and 27,548.80

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Solution

The fourth proportional to 48,769.60, 67,298.40 and 27,548.80 is: 38,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769.60 : 67,298.40 = 27,548.80 : x
  2. Step 2: Convert to fraction form
    48,769.60/67,298.40 = 27,548.80/x
  3. Step 3: Cross multiply
    48,769.60x = 67,298.40 × 27,548.80
  4. Step 4: Simplify right side
    48,769.60x = 1,853,990,161.92
  5. Step 5: Solve for x
    x = 1,853,990,161.92/48,769.60
  6. Step 6: Final answer
    x = 38,015.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.