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Finding the Fourth Proportional to 51,847.89, 77,692.60 and 34,918.30

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Solution

The fourth proportional to 51,847.89, 77,692.60 and 34,918.30 is: 52,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847.89 : 77,692.60 = 34,918.30 : x
  2. Step 2: Convert to fraction form
    51,847.89/77,692.60 = 34,918.30/x
  3. Step 3: Cross multiply
    51,847.89x = 77,692.60 × 34,918.30
  4. Step 4: Simplify right side
    51,847.89x = 2,712,893,514.58
  5. Step 5: Solve for x
    x = 2,712,893,514.58/51,847.89
  6. Step 6: Final answer
    x = 52,324.09

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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.