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Finding the Fourth Proportional to 69,684.64, 96,164.38 and 37,853.56

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Solution

The fourth proportional to 69,684.64, 96,164.38 and 37,853.56 is: 52,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684.64 : 96,164.38 = 37,853.56 : x
  2. Step 2: Convert to fraction form
    69,684.64/96,164.38 = 37,853.56/x
  3. Step 3: Cross multiply
    69,684.64x = 96,164.38 × 37,853.56
  4. Step 4: Simplify right side
    69,684.64x = 3,640,164,128.19
  5. Step 5: Solve for x
    x = 3,640,164,128.19/69,684.64
  6. Step 6: Final answer
    x = 52,237.68

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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.