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Finding the Fourth Proportional to 56,494.75, 84,742.10 and 21,434.41

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Solution

The fourth proportional to 56,494.75, 84,742.10 and 21,434.41 is: 32,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.75 : 84,742.10 = 21,434.41 : x
  2. Step 2: Convert to fraction form
    56,494.75/84,742.10 = 21,434.41/x
  3. Step 3: Cross multiply
    56,494.75x = 84,742.10 × 21,434.41
  4. Step 4: Simplify right side
    56,494.75x = 1,816,396,915.66
  5. Step 5: Solve for x
    x = 1,816,396,915.66/56,494.75
  6. Step 6: Final answer
    x = 32,151.61

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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.