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Finding the Fourth Proportional to 35,725.35, 49,298.58 and 19,809.21

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Solution

The fourth proportional to 35,725.35, 49,298.58 and 19,809.21 is: 27,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725.35 : 49,298.58 = 19,809.21 : x
  2. Step 2: Convert to fraction form
    35,725.35/49,298.58 = 19,809.21/x
  3. Step 3: Cross multiply
    35,725.35x = 49,298.58 × 19,809.21
  4. Step 4: Simplify right side
    35,725.35x = 976,565,923.92
  5. Step 5: Solve for x
    x = 976,565,923.92/35,725.35
  6. Step 6: Final answer
    x = 27,335.38

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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.