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Finding the Fourth Proportional to 35,725.50, 49,302.56 and 19,809.61

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Solution

The fourth proportional to 35,725.50, 49,302.56 and 19,809.61 is: 27,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725.50 : 49,302.56 = 19,809.61 : x
  2. Step 2: Convert to fraction form
    35,725.50/49,302.56 = 19,809.61/x
  3. Step 3: Cross multiply
    35,725.50x = 49,302.56 × 19,809.61
  4. Step 4: Simplify right side
    35,725.50x = 976,664,411.87
  5. Step 5: Solve for x
    x = 976,664,411.87/35,725.50
  6. Step 6: Final answer
    x = 27,338.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.