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Finding the Fourth Proportional to 67,257.42, 100,862.58 and 19,859.88

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Solution

The fourth proportional to 67,257.42, 100,862.58 and 19,859.88 is: 29,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257.42 : 100,862.58 = 19,859.88 : x
  2. Step 2: Convert to fraction form
    67,257.42/100,862.58 = 19,859.88/x
  3. Step 3: Cross multiply
    67,257.42x = 100,862.58 × 19,859.88
  4. Step 4: Simplify right side
    67,257.42x = 2,003,118,735.29
  5. Step 5: Solve for x
    x = 2,003,118,735.29/67,257.42
  6. Step 6: Final answer
    x = 29,782.87

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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.