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Finding the Fourth Proportional to 35,791.65, 53,670.17 and 13,286.81

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Solution

The fourth proportional to 35,791.65, 53,670.17 and 13,286.81 is: 19,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,791.65 : 53,670.17 = 13,286.81 : x
  2. Step 2: Convert to fraction form
    35,791.65/53,670.17 = 13,286.81/x
  3. Step 3: Cross multiply
    35,791.65x = 53,670.17 × 13,286.81
  4. Step 4: Simplify right side
    35,791.65x = 713,105,351.46
  5. Step 5: Solve for x
    x = 713,105,351.46/35,791.65
  6. Step 6: Final answer
    x = 19,923.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.