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Finding the Fourth Proportional to 45,162, 67,759.29 and 24,079.86

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Solution

The fourth proportional to 45,162, 67,759.29 and 24,079.86 is: 36,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162 : 67,759.29 = 24,079.86 : x
  2. Step 2: Convert to fraction form
    45,162/67,759.29 = 24,079.86/x
  3. Step 3: Cross multiply
    45,162x = 67,759.29 × 24,079.86
  4. Step 4: Simplify right side
    45,162x = 1,631,634,216.90
  5. Step 5: Solve for x
    x = 1,631,634,216.90/45,162
  6. Step 6: Final answer
    x = 36,128.48

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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.