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Finding the Fourth Proportional to 27,692.22, 41,537.64 and 7,701.67

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Solution

The fourth proportional to 27,692.22, 41,537.64 and 7,701.67 is: 11,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.22 : 41,537.64 = 7,701.67 : x
  2. Step 2: Convert to fraction form
    27,692.22/41,537.64 = 7,701.67/x
  3. Step 3: Cross multiply
    27,692.22x = 41,537.64 × 7,701.67
  4. Step 4: Simplify right side
    27,692.22x = 319,909,195.86
  5. Step 5: Solve for x
    x = 319,909,195.86/27,692.22
  6. Step 6: Final answer
    x = 11,552.31

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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.