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Finding the Fourth Proportional to 35,519.50, 49,034.52 and 27,849.31

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Solution

The fourth proportional to 35,519.50, 49,034.52 and 27,849.31 is: 38,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,519.50 : 49,034.52 = 27,849.31 : x
  2. Step 2: Convert to fraction form
    35,519.50/49,034.52 = 27,849.31/x
  3. Step 3: Cross multiply
    35,519.50x = 49,034.52 × 27,849.31
  4. Step 4: Simplify right side
    35,519.50x = 1,365,577,548.18
  5. Step 5: Solve for x
    x = 1,365,577,548.18/35,519.50
  6. Step 6: Final answer
    x = 38,445.86

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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.