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Finding the Fourth Proportional to 35,727.67, 49,306.15 and 19,811.78

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Solution

The fourth proportional to 35,727.67, 49,306.15 and 19,811.78 is: 27,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.67 : 49,306.15 = 19,811.78 : x
  2. Step 2: Convert to fraction form
    35,727.67/49,306.15 = 19,811.78/x
  3. Step 3: Cross multiply
    35,727.67x = 49,306.15 × 19,811.78
  4. Step 4: Simplify right side
    35,727.67x = 976,842,399.45
  5. Step 5: Solve for x
    x = 976,842,399.45/35,727.67
  6. Step 6: Final answer
    x = 27,341.34

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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.