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Finding the Fourth Proportional to 70,993.05, 106,449.63 and 23,582.77

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Solution

The fourth proportional to 70,993.05, 106,449.63 and 23,582.77 is: 35,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,993.05 : 106,449.63 = 23,582.77 : x
  2. Step 2: Convert to fraction form
    70,993.05/106,449.63 = 23,582.77/x
  3. Step 3: Cross multiply
    70,993.05x = 106,449.63 × 23,582.77
  4. Step 4: Simplify right side
    70,993.05x = 2,510,376,786.32
  5. Step 5: Solve for x
    x = 2,510,376,786.32/70,993.05
  6. Step 6: Final answer
    x = 35,360.88

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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.