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Finding the Fourth Proportional to 115,364.56, 173,078.70 and 48,769.60

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Solution

The fourth proportional to 115,364.56, 173,078.70 and 48,769.60 is: 73,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,364.56 : 173,078.70 = 48,769.60 : x
  2. Step 2: Convert to fraction form
    115,364.56/173,078.70 = 48,769.60/x
  3. Step 3: Cross multiply
    115,364.56x = 173,078.70 × 48,769.60
  4. Step 4: Simplify right side
    115,364.56x = 8,440,978,967.52
  5. Step 5: Solve for x
    x = 8,440,978,967.52/115,364.56
  6. Step 6: Final answer
    x = 73,167.87

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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.