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Finding the Fourth Proportional to 52,801, 79,205.34 and 19,969

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Solution

The fourth proportional to 52,801, 79,205.34 and 19,969 is: 29,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,801 : 79,205.34 = 19,969 : x
  2. Step 2: Convert to fraction form
    52,801/79,205.34 = 19,969/x
  3. Step 3: Cross multiply
    52,801x = 79,205.34 × 19,969
  4. Step 4: Simplify right side
    52,801x = 1,581,651,434.46
  5. Step 5: Solve for x
    x = 1,581,651,434.46/52,801
  6. Step 6: Final answer
    x = 29,954.95

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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.