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Finding the Fourth Proportional to 35,963.82, 53,944.52 and 9,667.17

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Solution

The fourth proportional to 35,963.82, 53,944.52 and 9,667.17 is: 14,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,963.82 : 53,944.52 = 9,667.17 : x
  2. Step 2: Convert to fraction form
    35,963.82/53,944.52 = 9,667.17/x
  3. Step 3: Cross multiply
    35,963.82x = 53,944.52 × 9,667.17
  4. Step 4: Simplify right side
    35,963.82x = 521,490,797.07
  5. Step 5: Solve for x
    x = 521,490,797.07/35,963.82
  6. Step 6: Final answer
    x = 14,500.43

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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.