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Finding the Fourth Proportional to 35,969.37, 49,655.34 and 27,885.17

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Solution

The fourth proportional to 35,969.37, 49,655.34 and 27,885.17 is: 38,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969.37 : 49,655.34 = 27,885.17 : x
  2. Step 2: Convert to fraction form
    35,969.37/49,655.34 = 27,885.17/x
  3. Step 3: Cross multiply
    35,969.37x = 49,655.34 × 27,885.17
  4. Step 4: Simplify right side
    35,969.37x = 1,384,647,349.03
  5. Step 5: Solve for x
    x = 1,384,647,349.03/35,969.37
  6. Step 6: Final answer
    x = 38,495.18

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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.