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Finding the Fourth Proportional to 52,055.85, 71,836.22 and 28,182.33

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Solution

The fourth proportional to 52,055.85, 71,836.22 and 28,182.33 is: 38,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.85 : 71,836.22 = 28,182.33 : x
  2. Step 2: Convert to fraction form
    52,055.85/71,836.22 = 28,182.33/x
  3. Step 3: Cross multiply
    52,055.85x = 71,836.22 × 28,182.33
  4. Step 4: Simplify right side
    52,055.85x = 2,024,511,917.08
  5. Step 5: Solve for x
    x = 2,024,511,917.08/52,055.85
  6. Step 6: Final answer
    x = 38,891.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.