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Finding the Fourth Proportional to 55,489.82, 83,415.16 and 44,516.55

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Solution

The fourth proportional to 55,489.82, 83,415.16 and 44,516.55 is: 66,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,489.82 : 83,415.16 = 44,516.55 : x
  2. Step 2: Convert to fraction form
    55,489.82/83,415.16 = 44,516.55/x
  3. Step 3: Cross multiply
    55,489.82x = 83,415.16 × 44,516.55
  4. Step 4: Simplify right side
    55,489.82x = 3,713,355,029.61
  5. Step 5: Solve for x
    x = 3,713,355,029.61/55,489.82
  6. Step 6: Final answer
    x = 66,919.58

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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.