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Finding the Fourth Proportional to 35,683.38, 49,243.14 and 19,767.54

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Solution

The fourth proportional to 35,683.38, 49,243.14 and 19,767.54 is: 27,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683.38 : 49,243.14 = 19,767.54 : x
  2. Step 2: Convert to fraction form
    35,683.38/49,243.14 = 19,767.54/x
  3. Step 3: Cross multiply
    35,683.38x = 49,243.14 × 19,767.54
  4. Step 4: Simplify right side
    35,683.38x = 973,415,739.68
  5. Step 5: Solve for x
    x = 973,415,739.68/35,683.38
  6. Step 6: Final answer
    x = 27,279.25

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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.