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Finding the Fourth Proportional to 32,029.80, 48,284.97 and 29,889

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Solution

The fourth proportional to 32,029.80, 48,284.97 and 29,889 is: 45,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.80 : 48,284.97 = 29,889 : x
  2. Step 2: Convert to fraction form
    32,029.80/48,284.97 = 29,889/x
  3. Step 3: Cross multiply
    32,029.80x = 48,284.97 × 29,889
  4. Step 4: Simplify right side
    32,029.80x = 1,443,189,468.33
  5. Step 5: Solve for x
    x = 1,443,189,468.33/32,029.80
  6. Step 6: Final answer
    x = 45,057.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.