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Finding the Fourth Proportional to 73,605.36, 110,440.86 and 26,847.30

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Solution

The fourth proportional to 73,605.36, 110,440.86 and 26,847.30 is: 40,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,605.36 : 110,440.86 = 26,847.30 : x
  2. Step 2: Convert to fraction form
    73,605.36/110,440.86 = 26,847.30/x
  3. Step 3: Cross multiply
    73,605.36x = 110,440.86 × 26,847.30
  4. Step 4: Simplify right side
    73,605.36x = 2,965,038,900.68
  5. Step 5: Solve for x
    x = 2,965,038,900.68/73,605.36
  6. Step 6: Final answer
    x = 40,282.92

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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.