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Finding the Fourth Proportional to 35,241.77, 48,605.40 and 30,983.82

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Solution

The fourth proportional to 35,241.77, 48,605.40 and 30,983.82 is: 42,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241.77 : 48,605.40 = 30,983.82 : x
  2. Step 2: Convert to fraction form
    35,241.77/48,605.40 = 30,983.82/x
  3. Step 3: Cross multiply
    35,241.77x = 48,605.40 × 30,983.82
  4. Step 4: Simplify right side
    35,241.77x = 1,505,980,964.63
  5. Step 5: Solve for x
    x = 1,505,980,964.63/35,241.77
  6. Step 6: Final answer
    x = 42,732.85

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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.