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Finding the Fourth Proportional to 35,727.30, 49,302.81 and 19,811.88

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Solution

The fourth proportional to 35,727.30, 49,302.81 and 19,811.88 is: 27,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.30 : 49,302.81 = 19,811.88 : x
  2. Step 2: Convert to fraction form
    35,727.30/49,302.81 = 19,811.88/x
  3. Step 3: Cross multiply
    35,727.30x = 49,302.81 × 19,811.88
  4. Step 4: Simplify right side
    35,727.30x = 976,781,355.38
  5. Step 5: Solve for x
    x = 976,781,355.38/35,727.30
  6. Step 6: Final answer
    x = 27,339.92

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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.