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Finding the Fourth Proportional to 55,523.80, 83,290.71 and 18,074.16

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Solution

The fourth proportional to 55,523.80, 83,290.71 and 18,074.16 is: 27,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,523.80 : 83,290.71 = 18,074.16 : x
  2. Step 2: Convert to fraction form
    55,523.80/83,290.71 = 18,074.16/x
  3. Step 3: Cross multiply
    55,523.80x = 83,290.71 × 18,074.16
  4. Step 4: Simplify right side
    55,523.80x = 1,505,409,619.05
  5. Step 5: Solve for x
    x = 1,505,409,619.05/55,523.80
  6. Step 6: Final answer
    x = 27,112.87

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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.