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Finding the Fourth Proportional to 73,826.60, 110,739.90 and 48,894.80

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Solution

The fourth proportional to 73,826.60, 110,739.90 and 48,894.80 is: 73,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,826.60 : 110,739.90 = 48,894.80 : x
  2. Step 2: Convert to fraction form
    73,826.60/110,739.90 = 48,894.80/x
  3. Step 3: Cross multiply
    73,826.60x = 110,739.90 × 48,894.80
  4. Step 4: Simplify right side
    73,826.60x = 5,414,605,262.52
  5. Step 5: Solve for x
    x = 5,414,605,262.52/73,826.60
  6. Step 6: Final answer
    x = 73,342.20

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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.