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Finding the Fourth Proportional to 52,731, 79,096.50 and 15,795

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Solution

The fourth proportional to 52,731, 79,096.50 and 15,795 is: 23,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,731 : 79,096.50 = 15,795 : x
  2. Step 2: Convert to fraction form
    52,731/79,096.50 = 15,795/x
  3. Step 3: Cross multiply
    52,731x = 79,096.50 × 15,795
  4. Step 4: Simplify right side
    52,731x = 1,249,329,217.50
  5. Step 5: Solve for x
    x = 1,249,329,217.50/52,731
  6. Step 6: Final answer
    x = 23,692.50

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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.