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Finding the Fourth Proportional to 35,072.70, 48,398.49 and 19,965.31

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Solution

The fourth proportional to 35,072.70, 48,398.49 and 19,965.31 is: 27,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072.70 : 48,398.49 = 19,965.31 : x
  2. Step 2: Convert to fraction form
    35,072.70/48,398.49 = 19,965.31/x
  3. Step 3: Cross multiply
    35,072.70x = 48,398.49 × 19,965.31
  4. Step 4: Simplify right side
    35,072.70x = 966,290,856.38
  5. Step 5: Solve for x
    x = 966,290,856.38/35,072.70
  6. Step 6: Final answer
    x = 27,551.08

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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.