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Finding the Fourth Proportional to 111,531.64, 167,323.79 and 36,652

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Solution

The fourth proportional to 111,531.64, 167,323.79 and 36,652 is: 54,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,531.64 : 167,323.79 = 36,652 : x
  2. Step 2: Convert to fraction form
    111,531.64/167,323.79 = 36,652/x
  3. Step 3: Cross multiply
    111,531.64x = 167,323.79 × 36,652
  4. Step 4: Simplify right side
    111,531.64x = 6,132,751,551.08
  5. Step 5: Solve for x
    x = 6,132,751,551.08/111,531.64
  6. Step 6: Final answer
    x = 54,986.65

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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.