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Finding the Fourth Proportional to 51,859.28, 71,566.28 and 29,193.88

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Solution

The fourth proportional to 51,859.28, 71,566.28 and 29,193.88 is: 40,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,859.28 : 71,566.28 = 29,193.88 : x
  2. Step 2: Convert to fraction form
    51,859.28/71,566.28 = 29,193.88/x
  3. Step 3: Cross multiply
    51,859.28x = 71,566.28 × 29,193.88
  4. Step 4: Simplify right side
    51,859.28x = 2,089,297,390.37
  5. Step 5: Solve for x
    x = 2,089,297,390.37/51,859.28
  6. Step 6: Final answer
    x = 40,287.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.