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Finding the Fourth Proportional to 51,268.80, 76,903.20 and 27,883.20

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Solution

The fourth proportional to 51,268.80, 76,903.20 and 27,883.20 is: 41,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,268.80 : 76,903.20 = 27,883.20 : x
  2. Step 2: Convert to fraction form
    51,268.80/76,903.20 = 27,883.20/x
  3. Step 3: Cross multiply
    51,268.80x = 76,903.20 × 27,883.20
  4. Step 4: Simplify right side
    51,268.80x = 2,144,307,306.24
  5. Step 5: Solve for x
    x = 2,144,307,306.24/51,268.80
  6. Step 6: Final answer
    x = 41,824.80

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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.