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Finding the Fourth Proportional to 52,782, 79,179.48 and 15,846

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Solution

The fourth proportional to 52,782, 79,179.48 and 15,846 is: 23,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,782 : 79,179.48 = 15,846 : x
  2. Step 2: Convert to fraction form
    52,782/79,179.48 = 15,846/x
  3. Step 3: Cross multiply
    52,782x = 79,179.48 × 15,846
  4. Step 4: Simplify right side
    52,782x = 1,254,678,040.08
  5. Step 5: Solve for x
    x = 1,254,678,040.08/52,782
  6. Step 6: Final answer
    x = 23,770.95

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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.