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Finding the Fourth Proportional to 52,055.69, 71,837.22 and 28,182.42

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Solution

The fourth proportional to 52,055.69, 71,837.22 and 28,182.42 is: 38,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.69 : 71,837.22 = 28,182.42 : x
  2. Step 2: Convert to fraction form
    52,055.69/71,837.22 = 28,182.42/x
  3. Step 3: Cross multiply
    52,055.69x = 71,837.22 × 28,182.42
  4. Step 4: Simplify right side
    52,055.69x = 2,024,546,705.67
  5. Step 5: Solve for x
    x = 2,024,546,705.67/52,055.69
  6. Step 6: Final answer
    x = 38,891.94

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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.