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Finding the Fourth Proportional to 51,951, 71,692.38 and 29,595

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Solution

The fourth proportional to 51,951, 71,692.38 and 29,595 is: 40,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951 : 71,692.38 = 29,595 : x
  2. Step 2: Convert to fraction form
    51,951/71,692.38 = 29,595/x
  3. Step 3: Cross multiply
    51,951x = 71,692.38 × 29,595
  4. Step 4: Simplify right side
    51,951x = 2,121,735,986.10
  5. Step 5: Solve for x
    x = 2,121,735,986.10/51,951
  6. Step 6: Final answer
    x = 40,841.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.