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Finding the Fourth Proportional to 48,769.96, 67,309.22 and 28,073

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Solution

The fourth proportional to 48,769.96, 67,309.22 and 28,073 is: 38,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769.96 : 67,309.22 = 28,073 : x
  2. Step 2: Convert to fraction form
    48,769.96/67,309.22 = 28,073/x
  3. Step 3: Cross multiply
    48,769.96x = 67,309.22 × 28,073
  4. Step 4: Simplify right side
    48,769.96x = 1,889,571,733.06
  5. Step 5: Solve for x
    x = 1,889,571,733.06/48,769.96
  6. Step 6: Final answer
    x = 38,744.58

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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.