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Finding the Fourth Proportional to 70,779.78, 106,195.17 and 35,692.98

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Solution

The fourth proportional to 70,779.78, 106,195.17 and 35,692.98 is: 53,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,779.78 : 106,195.17 = 35,692.98 : x
  2. Step 2: Convert to fraction form
    70,779.78/106,195.17 = 35,692.98/x
  3. Step 3: Cross multiply
    70,779.78x = 106,195.17 × 35,692.98
  4. Step 4: Simplify right side
    70,779.78x = 3,790,422,078.91
  5. Step 5: Solve for x
    x = 3,790,422,078.91/70,779.78
  6. Step 6: Final answer
    x = 53,552.33

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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.