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Finding the Fourth Proportional to 50,538.88, 75,841.12 and 22,837.12

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Solution

The fourth proportional to 50,538.88, 75,841.12 and 22,837.12 is: 34,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538.88 : 75,841.12 = 22,837.12 : x
  2. Step 2: Convert to fraction form
    50,538.88/75,841.12 = 22,837.12/x
  3. Step 3: Cross multiply
    50,538.88x = 75,841.12 × 22,837.12
  4. Step 4: Simplify right side
    50,538.88x = 1,731,992,758.37
  5. Step 5: Solve for x
    x = 1,731,992,758.37/50,538.88
  6. Step 6: Final answer
    x = 34,270.50

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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.