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Finding the Fourth Proportional to 45,824.70, 68,727.45 and 22,467.90

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Solution

The fourth proportional to 45,824.70, 68,727.45 and 22,467.90 is: 33,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,824.70 : 68,727.45 = 22,467.90 : x
  2. Step 2: Convert to fraction form
    45,824.70/68,727.45 = 22,467.90/x
  3. Step 3: Cross multiply
    45,824.70x = 68,727.45 × 22,467.90
  4. Step 4: Simplify right side
    45,824.70x = 1,544,161,473.86
  5. Step 5: Solve for x
    x = 1,544,161,473.86/45,824.70
  6. Step 6: Final answer
    x = 33,697.14

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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.