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Finding the Fourth Proportional to 79,829.88, 119,679.88 and 29,882

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Solution

The fourth proportional to 79,829.88, 119,679.88 and 29,882 is: 44,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,829.88 : 119,679.88 = 29,882 : x
  2. Step 2: Convert to fraction form
    79,829.88/119,679.88 = 29,882/x
  3. Step 3: Cross multiply
    79,829.88x = 119,679.88 × 29,882
  4. Step 4: Simplify right side
    79,829.88x = 3,576,274,174.16
  5. Step 5: Solve for x
    x = 3,576,274,174.16/79,829.88
  6. Step 6: Final answer
    x = 44,798.69

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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.