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Finding the Fourth Proportional to 35,809.62, 49,414.92 and 19,894.08

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Solution

The fourth proportional to 35,809.62, 49,414.92 and 19,894.08 is: 27,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.62 : 49,414.92 = 19,894.08 : x
  2. Step 2: Convert to fraction form
    35,809.62/49,414.92 = 19,894.08/x
  3. Step 3: Cross multiply
    35,809.62x = 49,414.92 × 19,894.08
  4. Step 4: Simplify right side
    35,809.62x = 983,064,371.67
  5. Step 5: Solve for x
    x = 983,064,371.67/35,809.62
  6. Step 6: Final answer
    x = 27,452.52

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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.