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Finding the Fourth Proportional to 35,725.37, 49,302.54 and 19,809.81

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Solution

The fourth proportional to 35,725.37, 49,302.54 and 19,809.81 is: 27,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725.37 : 49,302.54 = 19,809.81 : x
  2. Step 2: Convert to fraction form
    35,725.37/49,302.54 = 19,809.81/x
  3. Step 3: Cross multiply
    35,725.37x = 49,302.54 × 19,809.81
  4. Step 4: Simplify right side
    35,725.37x = 976,673,949.92
  5. Step 5: Solve for x
    x = 976,673,949.92/35,725.37
  6. Step 6: Final answer
    x = 27,338.39

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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.