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Finding the Fourth Proportional to 35,687.75, 49,248.45 and 19,771.88

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Solution

The fourth proportional to 35,687.75, 49,248.45 and 19,771.88 is: 27,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.75 : 49,248.45 = 19,771.88 : x
  2. Step 2: Convert to fraction form
    35,687.75/49,248.45 = 19,771.88/x
  3. Step 3: Cross multiply
    35,687.75x = 49,248.45 × 19,771.88
  4. Step 4: Simplify right side
    35,687.75x = 973,734,197.34
  5. Step 5: Solve for x
    x = 973,734,197.34/35,687.75
  6. Step 6: Final answer
    x = 27,284.83

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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.