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Finding the Fourth Proportional to 35,672.97, 49,228.09 and 19,757.08

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Solution

The fourth proportional to 35,672.97, 49,228.09 and 19,757.08 is: 27,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672.97 : 49,228.09 = 19,757.08 : x
  2. Step 2: Convert to fraction form
    35,672.97/49,228.09 = 19,757.08/x
  3. Step 3: Cross multiply
    35,672.97x = 49,228.09 × 19,757.08
  4. Step 4: Simplify right side
    35,672.97x = 972,603,312.38
  5. Step 5: Solve for x
    x = 972,603,312.38/35,672.97
  6. Step 6: Final answer
    x = 27,264.43

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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.