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Finding the Fourth Proportional to 45,689.88, 68,534.10 and 14,524.68

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Solution

The fourth proportional to 45,689.88, 68,534.10 and 14,524.68 is: 21,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689.88 : 68,534.10 = 14,524.68 : x
  2. Step 2: Convert to fraction form
    45,689.88/68,534.10 = 14,524.68/x
  3. Step 3: Cross multiply
    45,689.88x = 68,534.10 × 14,524.68
  4. Step 4: Simplify right side
    45,689.88x = 995,435,871.59
  5. Step 5: Solve for x
    x = 995,435,871.59/45,689.88
  6. Step 6: Final answer
    x = 21,786.79

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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.