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Finding the Fourth Proportional to 55,210.24, 82,815.04 and 33,029.84

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Solution

The fourth proportional to 55,210.24, 82,815.04 and 33,029.84 is: 49,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,210.24 : 82,815.04 = 33,029.84 : x
  2. Step 2: Convert to fraction form
    55,210.24/82,815.04 = 33,029.84/x
  3. Step 3: Cross multiply
    55,210.24x = 82,815.04 × 33,029.84
  4. Step 4: Simplify right side
    55,210.24x = 2,735,367,520.79
  5. Step 5: Solve for x
    x = 2,735,367,520.79/55,210.24
  6. Step 6: Final answer
    x = 49,544.57

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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.