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Finding the Fourth Proportional to 55,451.84, 83,175.20 and 20,388.96

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Solution

The fourth proportional to 55,451.84, 83,175.20 and 20,388.96 is: 30,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,451.84 : 83,175.20 = 20,388.96 : x
  2. Step 2: Convert to fraction form
    55,451.84/83,175.20 = 20,388.96/x
  3. Step 3: Cross multiply
    55,451.84x = 83,175.20 × 20,388.96
  4. Step 4: Simplify right side
    55,451.84x = 1,695,855,825.79
  5. Step 5: Solve for x
    x = 1,695,855,825.79/55,451.84
  6. Step 6: Final answer
    x = 30,582.50

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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.