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Finding the Fourth Proportional to 49,892.63, 68,851.85 and 27,536.63

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Solution

The fourth proportional to 49,892.63, 68,851.85 and 27,536.63 is: 38,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.63 : 68,851.85 = 27,536.63 : x
  2. Step 2: Convert to fraction form
    49,892.63/68,851.85 = 27,536.63/x
  3. Step 3: Cross multiply
    49,892.63x = 68,851.85 × 27,536.63
  4. Step 4: Simplify right side
    49,892.63x = 1,895,947,436.32
  5. Step 5: Solve for x
    x = 1,895,947,436.32/49,892.63
  6. Step 6: Final answer
    x = 38,000.55

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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.