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Finding the Fourth Proportional to 55,465.98, 83,138.97 and 22,149.42

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Solution

The fourth proportional to 55,465.98, 83,138.97 and 22,149.42 is: 33,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465.98 : 83,138.97 = 22,149.42 : x
  2. Step 2: Convert to fraction form
    55,465.98/83,138.97 = 22,149.42/x
  3. Step 3: Cross multiply
    55,465.98x = 83,138.97 × 22,149.42
  4. Step 4: Simplify right side
    55,465.98x = 1,841,479,964.90
  5. Step 5: Solve for x
    x = 1,841,479,964.90/55,465.98
  6. Step 6: Final answer
    x = 33,200.17

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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.