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Finding the Fourth Proportional to 35,612.66, 49,139.60 and 19,694

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Solution

The fourth proportional to 35,612.66, 49,139.60 and 19,694 is: 27,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612.66 : 49,139.60 = 19,694 : x
  2. Step 2: Convert to fraction form
    35,612.66/49,139.60 = 19,694/x
  3. Step 3: Cross multiply
    35,612.66x = 49,139.60 × 19,694
  4. Step 4: Simplify right side
    35,612.66x = 967,755,282.40
  5. Step 5: Solve for x
    x = 967,755,282.40/35,612.66
  6. Step 6: Final answer
    x = 27,174.47

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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.