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Finding the Fourth Proportional to 51,584.57, 77,373.67 and 18,300.25

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Solution

The fourth proportional to 51,584.57, 77,373.67 and 18,300.25 is: 27,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,584.57 : 77,373.67 = 18,300.25 : x
  2. Step 2: Convert to fraction form
    51,584.57/77,373.67 = 18,300.25/x
  3. Step 3: Cross multiply
    51,584.57x = 77,373.67 × 18,300.25
  4. Step 4: Simplify right side
    51,584.57x = 1,415,957,504.42
  5. Step 5: Solve for x
    x = 1,415,957,504.42/51,584.57
  6. Step 6: Final answer
    x = 27,449.25

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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.